Details

sample106.0ms

Algorithm

intervals

Results

21.0ms	326×	body	80	nan
17.0ms	43×	body	1280	valid
14.0ms	181×	body	80	valid
10.0ms	15×	body	2560	valid
8.0ms	31×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify42.0ms

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	88	19
5	91	19
done	91	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
24.6b	(cos (- y (/ (* z t) 3.0)))

rewrite27.0ms

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:

3.0ms	(/ (* z t) 3.0)
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
94.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
37.0ms	(cos (- y (/ (* z t) 3.0)))

simplify495.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	170	993
1	412	961
2	1478	813
done	5000	813

prune337.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 18.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.5b	(/ a (* b 3.0))
30.2b	(sin (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))

rewrite24.0ms

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:

17.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms	(/ a (* b 3.0))
1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
19.0ms	(/ a (* b 3.0))
15.0ms	(sin (/ (* z t) 3.0))
14.0ms	(cos (/ (* z t) 3.0))

simplify553.0ms

Counts

70 → 70

Iterations

Useful iterations: done (551.0ms)

Iter	Nodes	Cost
0	162	1246
1	435	1219
2	1689	1025
done	5000	1023

prune420.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 18.1b

localize29.0ms

Local error

Found 4 expressions with local error:

30.2b	(sin (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))

rewrite6.0ms

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:

1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify1.7s

Counts

40 → 40

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	27	336
1	36	336
2	50	288
3	61	288
4	71	288
5	88	288
6	129	288
7	248	288
8	669	288
9	2524	288
done	5001	288

prune371.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 18.1b

localize34.0ms

Local error

Found 4 expressions with local error:

30.2b	(sin (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))
30.3b	(cos (/ (* z t) 3.0))

rewrite6.0ms

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:

1.0ms	(sin (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(cos (/ (* z t) 3.0))

series50.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))

simplify1.7s

Counts

40 → 40

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	27	336
1	36	336
2	50	288
3	61	288
4	71	288
5	88	288
6	129	288
7	248	288
8	669	288
9	2524	288
done	5001	288

prune293.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 18.1b

regimes2.6s

Accuracy

63.4% (1.4b remaining)

Error of 17.9b against oracle of 16.5b and baseline of 20.3b

bsearch6.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	82
1	56	82
done	56	82

end0.0ms

sample2.9s

Algorithm

intervals

Results

639.0ms	1612×	body	1280	valid
626.0ms	9196×	body	80	nan
356.0ms	5572×	body	80	valid
265.0ms	962×	body	640	valid
222.0ms	332×	body	2560	valid
82.0ms	419×	body	320	valid
27.0ms	197×	body	160	valid