Details

sample106.0ms

Algorithm

intervals

Results

24.0ms	58×	body	1280	valid
18.0ms	294×	body	80	nan
11.0ms	189×	body	80	valid
8.0ms	13×	body	2560	valid
6.0ms	25×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	6×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10
done	92	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
27.9b	(cos (- y (/ (* z t) 3.0)))

rewrite64.0ms

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:

12.0ms	(/ (* z t) 3.0)
7.0ms	(/ a (* b 3.0))
27.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
15.0ms	(cos (- y (/ (* z t) 3.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
19.0ms	(/ a (* b 3.0))
103.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
38.0ms	(cos (- y (/ (* z t) 3.0)))

simplify47.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426
done	5001	426

prune296.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.4b	(cos (/ (* z t) 3.0))
31.5b	(sin (/ (* z t) 3.0))

rewrite86.0ms

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:

37.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
40.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series254.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
105.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify48.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	351	704
1	1500	545
2	5001	540
done	5001	540

prune333.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.8b	(cos (* 0.3333333333333333 (* t z)))
31.5b	(sin (/ (* z t) 3.0))

rewrite136.0ms

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:

74.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
38.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(sin (/ (* z t) 3.0))

series246.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
100.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
11.0ms	(cos (* 0.3333333333333333 (* t z)))
17.0ms	(sin (/ (* z t) 3.0))

simplify46.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	355	704
1	1526	545
2	5001	540
done	5001	540

prune555.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.8b	(cos (* 0.3333333333333333 (* t z)))
31.3b	(sin (* 0.3333333333333333 (* t z)))

rewrite193.0ms

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:

73.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
81.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
17.0ms	(cos (* 0.3333333333333333 (* t z)))
19.0ms	(sin (* 0.3333333333333333 (* t z)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
101.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
11.0ms	(cos (* 0.3333333333333333 (* t z)))
18.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify49.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	341	704
1	1502	545
2	5001	540
done	5001	540

prune239.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.4b

regimes2.1s

Accuracy

57.5% (1.6b remaining)

Error of 18.3b against oracle of 16.7b and baseline of 20.5b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	52
1	61	52
2	61	52
done	61	52

end0.0ms

sample3.0s

Algorithm

intervals

Results

578.0ms	9174×	body	80	nan
575.0ms	1542×	body	1280	valid
325.0ms	5686×	body	80	valid
245.0ms	945×	body	640	valid
230.0ms	364×	body	2560	valid
82.0ms	446×	body	320	valid
27.0ms	205×	body	160	valid