Details

sample206.0ms

Algorithm

intervals

Results

41.0ms	18×	body	2560	valid
38.0ms	61×	body	1280	valid
36.0ms	329×	body	80	nan
18.0ms	181×	body	80	valid
12.0ms	28×	body	640	valid
3.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify103.0ms

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	87	19
5	89	19
done	89	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.0b	(cos (- y (/ (* z t) 3.0)))

rewrite94.0ms

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:

10.0ms	(/ a (* b 3.0))
14.0ms	(/ (* z t) 3.0)
37.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
31.0ms	(cos (- y (/ (* z t) 3.0)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ a (* b 3.0))
26.0ms	(/ (* z t) 3.0)
144.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
53.0ms	(cos (- y (/ (* z t) 3.0)))

simplify3.1s

Counts

84 → 84

Iterations

Useful iterations: 2 (243.0ms)

Iter	Nodes	Cost
0	170	993
1	399	961
2	1334	813
3	4843	813
done	5000	813

prune408.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 17.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.8b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite99.0ms

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:

19.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
56.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(sin (/ (* z t) 3.0))
13.0ms	(cos (/ (* z t) 3.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
147.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
20.0ms	(sin (/ (* z t) 3.0))
15.0ms	(cos (/ (* z t) 3.0))

simplify3.8s

Counts

68 → 68

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	98	984
1	217	951
2	806	767
3	3646	761
done	5001	749

prune521.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.9b

localize48.0ms

Local error

Found 4 expressions with local error:

28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite14.0ms

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

series73.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sin (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))
20.0ms	(cos (/ (* z t) 3.0))

simplify3.5s

Counts

40 → 40

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	27	344
1	36	344
2	49	296
3	61	296
4	71	296
5	88	296
6	127	296
7	264	296
8	848	296
9	3672	296
done	5001	296

prune546.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.9b

localize49.0ms

Local error

Found 4 expressions with local error:

28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite18.0ms

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:

5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series94.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin (/ (* z t) 3.0))
22.0ms	(sin (/ (* z t) 3.0))
23.0ms	(sin (/ (* z t) 3.0))
25.0ms	(cos (/ (* z t) 3.0))

simplify3.5s

Counts

40 → 40

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	27	344
1	36	344
2	49	296
3	61	296
4	71	296
5	88	296
6	127	296
7	264	296
8	848	296
9	3672	296
done	5001	296

prune343.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 16.9b

regimes2.9s

Accuracy

58.6% (1.5b remaining)

Error of 17.9b against oracle of 16.4b and baseline of 20.1b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	87
1	53	87
done	53	87

end0.0ms

sample6.9s

Algorithm

intervals

Results

1.6s	1562×	body	1280	valid
1.5s	9197×	body	80	nan
1.0s	5611×	body	80	valid
799.0ms	962×	body	640	valid
431.0ms	370×	body	2560	valid
199.0ms	461×	body	320	valid
41.0ms	187×	body	160	valid