Details

sample226.0ms

Algorithm

intervals

Results

52.0ms	16×	body	2560	valid
45.0ms	325×	body	80	nan
32.0ms	51×	body	1280	valid
20.0ms	183×	body	80	valid
13.0ms	27×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify76.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
26.1b	(cos (- y (/ (* z t) 3.0)))

rewrite81.0ms

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:

17.0ms	(/ (* z t) 3.0)
38.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
16.0ms	(cos (- y (/ (* z t) 3.0)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
162.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms	(/ a (* b 3.0))
48.0ms	(cos (- y (/ (* z t) 3.0)))

simplify3.4s

Counts

84 → 84

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	170	993
1	399	961
2	1327	813
3	4801	813
done	5000	813

prune389.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin (/ (* z t) 3.0)) (sin y))))
0.5b	(/ a (* b 3.0))
29.2b	(sin (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

77.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin (/ (* z t) 3.0)) (sin y))))
11.0ms	(/ a (* b 3.0))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series329.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin (/ (* z t) 3.0)) (sin y))))
26.0ms	(/ a (* b 3.0))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	162	1246
1	431	1219
2	1659	1025
done	5000	1015

prune572.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin (/ (* z t) 3.0)) (sin y))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin (/ (* z t) 3.0)) (sin y))))
29.2b	(sin (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite79.0ms

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:

16.0ms	(* (sin (/ (* z t) 3.0)) (sin y))
50.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin (/ (* z t) 3.0)) (sin y))))
5.0ms	(sin (/ (* z t) 3.0))
6.0ms	(cos (/ (* z t) 3.0))

series335.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (sin (/ (* z t) 3.0)) (sin y))
242.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (/ (* z t) 3.0)) (cos y)) (* (sin (/ (* z t) 3.0)) (sin y))))
17.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	137	1329
1	365	1284
2	1437	1102
done	5000	1092

prune456.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 16.2b

localize61.0ms

Local error

Found 4 expressions with local error:

29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))
29.4b	(cos (/ (* z t) 3.0))

rewrite15.0ms

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

series54.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))
13.0ms	(cos (/ (* z t) 3.0))
19.0ms	(cos (/ (* z t) 3.0))

simplify2.0s

Counts

40 → 40

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	18	332
1	26	332
2	39	284
3	49	284
4	56	284
5	66	284
6	87	284
7	161	284
8	456	284
9	1901	284
done	5001	284

prune455.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 16.1b

regimes3.2s

Accuracy

60.9% (1.6b remaining)

Error of 17.9b against oracle of 16.3b and baseline of 20.3b

bsearch4.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	128
1	69	128
done	69	128

end0.0ms

sample6.6s

Algorithm

intervals

Results

1.3s	9247×	body	80	nan
1.2s	1648×	body	1280	valid
1.0s	5601×	body	80	valid
980.0ms	971×	body	640	valid
392.0ms	339×	body	2560	valid
191.0ms	388×	body	320	valid
45.0ms	214×	body	160	valid