Details

sample156.0ms

Algorithm

intervals

Results

45.0ms	61×	body	1280	valid
27.0ms	329×	body	80	nan
14.0ms	181×	body	80	valid
13.0ms	18×	body	2560	valid
9.0ms	28×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	3×	body	160	valid

simplify103.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize30.0ms

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)))

rewrite92.0ms

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:

11.0ms	(/ a (* b 3.0))
10.0ms	(/ (* z t) 3.0)
33.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms	(cos (- y (/ (* z t) 3.0)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ a (* b 3.0))
25.0ms	(/ (* z t) 3.0)
132.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
55.0ms	(cos (- y (/ (* z t) 3.0)))

simplify2.9s

Counts

84 → 84

Iterations

Useful iterations: 2 (225.0ms)

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

prune402.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 17.0b

localize51.0ms

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))

rewrite103.0ms

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:

26.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
62.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
123.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
22.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify3.2s

Counts

68 → 68

Iterations

Useful iterations: done (3.2s)

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

prune424.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.9b

localize65.0ms

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))

rewrite22.0ms

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))
5.0ms	(sin (/ (* z t) 3.0))
6.0ms	(cos (/ (* z t) 3.0))

series87.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sin (/ (* z t) 3.0))
25.0ms	(sin (/ (* z t) 3.0))
23.0ms	(sin (/ (* z t) 3.0))
16.0ms	(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

prune497.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.9b

localize60.0ms

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))

rewrite21.0ms

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

series90.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sin (/ (* z t) 3.0))
21.0ms	(sin (/ (* z t) 3.0))
30.0ms	(sin (/ (* z t) 3.0))
16.0ms	(cos (/ (* z t) 3.0))

simplify3.6s

Counts

40 → 40

Iterations

Useful iterations: 2 (14.0ms)

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

prune375.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.9b

regimes2.9s

Accuracy

58.6% (1.5b remaining)

Error of 18.0b against oracle of 16.4b and baseline of 20.1b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	39	66
1	51	66
done	51	66

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.9s	1562×	body	1280	valid
1.5s	9197×	body	80	nan
921.0ms	962×	body	640	valid
722.0ms	5611×	body	80	valid
418.0ms	370×	body	2560	valid
190.0ms	461×	body	320	valid
112.0ms	187×	body	160	valid