Details

sample134.0ms

Algorithm

intervals

Results

30.0ms	277×	body	80	nan
22.0ms	44×	body	1280	valid
15.0ms	191×	body	80	valid
11.0ms	13×	body	2560	valid
8.0ms	24×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	8×	body	160	valid

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	32	19
2	54	19
3	76	19
4	89	19
5	92	19
done	92	19

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize329.0ms

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))))
0.2b	(/ a (* b 3.0))
24.8b	(cos (- y (/ (* z t) 3.0)))

rewrite71.0ms

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:

14.0ms	(/ (* z t) 3.0)
30.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(/ a (* b 3.0))
16.0ms	(cos (- y (/ (* z t) 3.0)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* z t) 3.0)
140.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(/ a (* b 3.0))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify971.0ms

Counts

84 → 84

Iterations

Useful iterations: done (969.0ms)

Iter	Nodes	Cost
0	170	993
1	422	965
2	1957	821
done	5001	813

prune430.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
2.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.7b	(cos (/ (* z t) 3.0))
29.8b	(sin (/ (* z t) 3.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

22.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
50.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series223.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
136.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms	(cos (/ (* z t) 3.0))
22.0ms	(sin (/ (* z t) 3.0))

simplify680.0ms

Counts

68 → 68

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	98	984
1	225	951
2	977	783
done	5000	769

prune524.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
2.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.4b	(cos (* 0.3333333333333333 (* t z)))
29.8b	(sin (/ (* z t) 3.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

14.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
63.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
25.0ms	(cos (* 0.3333333333333333 (* t z)))
5.0ms	(sin (/ (* z t) 3.0))

series226.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
121.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms	(cos (* 0.3333333333333333 (* t z)))
30.0ms	(sin (/ (* z t) 3.0))

simplify716.0ms

Counts

68 → 68

Iterations

Useful iterations: done (714.0ms)

Iter	Nodes	Cost
0	97	984
1	228	951
2	985	775
done	5000	769

prune563.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.8b

localize70.0ms

Local error

Found 4 expressions with local error:

29.4b	(cos (* 0.3333333333333333 (* t z)))
29.4b	(cos (* 0.3333333333333333 (* t z)))
29.4b	(cos (* 0.3333333333333333 (* t z)))
29.8b	(sin (/ (* z t) 3.0))

rewrite85.0ms

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:

27.0ms	(cos (* 0.3333333333333333 (* t z)))
26.0ms	(cos (* 0.3333333333333333 (* t z)))
25.0ms	(cos (* 0.3333333333333333 (* t z)))
6.0ms	(sin (/ (* z t) 3.0))

series64.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cos (* 0.3333333333333333 (* t z)))
12.0ms	(cos (* 0.3333333333333333 (* t z)))
16.0ms	(cos (* 0.3333333333333333 (* t z)))
24.0ms	(sin (/ (* z t) 3.0))

simplify1.3s

Counts

40 → 40

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	26	336
1	35	336
2	49	288
3	62	288
4	78	288
5	145	288
6	284	288
7	634	288
8	1983	288
done	5000	288

prune368.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.7b

regimes3.2s

Accuracy

51% (1.9b remaining)

Error of 18.7b against oracle of 16.9b and baseline of 20.7b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	117
1	65	100
done	65	100

end0.0ms

sample6.6s

Algorithm

intervals

Results

1.5s	9187×	body	80	nan
1.3s	1576×	body	1280	valid
825.0ms	5545×	body	80	valid
490.0ms	962×	body	640	valid
393.0ms	428×	body	320	valid
391.0ms	401×	body	2560	valid
318.0ms	221×	body	160	valid