Details

sample206.0ms

Algorithm

intervals

Results

58.0ms	178×	body	80	valid
37.0ms	296×	body	80	nan
34.0ms	50×	body	1280	valid
16.0ms	32×	body	640	valid
10.0ms	9×	body	2560	valid
7.0ms	20×	body	320	valid
2.0ms	6×	body	160	valid

simplify66.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.5b	(cos (- y (/ (* z t) 3.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-/r` `div-exp` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `clear-num` `frac-2neg` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/ (* z t) 3.0)
10.0ms	(/ a (* b 3.0))
23.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
13.0ms	(cos (- y (/ (* z t) 3.0)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* z t) 3.0)
23.0ms	(/ a (* b 3.0))
112.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
41.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1965
1	420
0	170

prune885.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 17.6b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (/ (* z t) 3.0)))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
32.1b	(cos (/ (* z t) 3.0))
32.1b	(sin (/ (* z t) 3.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
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:

15.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
54.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series404.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
305.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
15.0ms	(cos (/ (* z t) 3.0))
24.0ms	(sin (/ (* z t) 3.0))

simplify1.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
2	2111
1	383
0	136

prune987.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.4b

localize112.0ms

Local error

Found 4 expressions with local error:

32.1b	(cos (/ (* z t) 3.0))
32.1b	(cos (/ (* z t) 3.0))
32.1b	(cos (/ (* z t) 3.0))
32.1b	(sin (/ (* z t) 3.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

9.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cos (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))
21.0ms	(sin (/ (* z t) 3.0))

simplify1.5s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
8	2040
7	663
6	300
5	147
4	80
3	64
2	51
1	36
0	27

prune752.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.4b

localize95.0ms

Local error

Found 4 expressions with local error:

32.1b	(cos (/ (* z t) 3.0))
32.1b	(cos (/ (* z t) 3.0))
32.1b	(cos (* 0.3333333333333333 (* t z)))
32.1b	(sin (/ (* z t) 3.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
18.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

series72.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.7s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
8	3248
7	971
6	424
5	197
4	97
3	74
2	59
1	44
0	34

prune500.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 17.4b

regimes6.1s

Accuracy

40.2% (2.3b remaining)

Error of 18.3b against oracle of 16.0b and baseline of 19.8b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	54
1	54
0	39

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.7s	1555×	body	1280	valid
1.4s	8978×	body	80	nan
931.0ms	5654×	body	80	valid
504.0ms	918×	body	640	valid
408.0ms	349×	body	2560	valid
143.0ms	451×	body	320	valid
42.0ms	196×	body	160	valid