Details

sample213.0ms

Algorithm

intervals

Results

35.0ms	48×	body	1280	valid
33.0ms	10×	body	2560	valid
33.0ms	248×	body	80	nan
22.0ms	174×	body	80	valid
18.0ms	30×	body	640	valid
5.0ms	12×	body	320	valid
3.0ms	10×	body	160	valid

simplify131.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	97	19
5	104	19
6	106	19
done	106	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize40.0ms

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)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/ a (* b 3.0))
57.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(/ (* z t) 3.0)
38.0ms	(cos (- y (/ (* z t) 3.0)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ a (* b 3.0))
176.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
38.0ms	(/ (* z t) 3.0)
72.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.9s

Counts

113 → 113

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	327	2847
1	666	2377
2	1866	1875
done	5000	1638

prune681.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 14.3b

localize53.0ms

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))

rewrite106.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 68

Calls

4 calls:

48.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
46.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series369.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
144.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	138	1360
1	348	1299
2	1367	1025
done	5000	1011

prune657.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 14.2b

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)))

rewrite221.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 68

Calls

4 calls:

117.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
59.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
6.0ms	(sin (/ (* z t) 3.0))
36.0ms	(cos (* 0.3333333333333333 (* t z)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
168.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.0ms	(sin (/ (* z t) 3.0))
18.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify1.4s

Counts

80 → 80

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	141	1360
1	352	1299
2	1386	1024
done	5001	1011

prune657.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 14.2b

localize75.0ms

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)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

6.0ms	(sin (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))
30.0ms	(cos (* 0.3333333333333333 (* t z)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sin (/ (* z t) 3.0))
28.0ms	(sin (/ (* z t) 3.0))
33.0ms	(sin (/ (* z t) 3.0))
20.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify4.1s

Counts

48 → 48

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	30	400
1	39	400
2	53	352
3	65	352
4	75	352
5	92	352
6	131	352
7	270	352
8	843	352
9	3610	352
done	5001	352

prune435.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 14.2b

regimes4.1s

Accuracy

62.8% (1.4b remaining)

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

bsearch4.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	113
1	64	113
done	64	113

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.1s	9092×	body	80	nan
1.4s	1554×	body	1280	valid
895.0ms	5595×	body	80	valid
651.0ms	947×	body	640	valid
610.0ms	392×	body	2560	valid
225.0ms	426×	body	320	valid
112.0ms	222×	body	160	valid