Details

sample180.0ms

Algorithm

intervals

Results

54.0ms	312×	body	80	nan
31.0ms	58×	body	1280	valid
15.0ms	173×	body	80	valid
12.0ms	32×	body	640	valid
10.0ms	11×	body	2560	valid
4.0ms	13×	body	320	valid
1.0ms	3×	body	160	valid

simplify85.0ms

Counts

1 → 1

Iterations

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ a b) 3.0)
0.2b	(* z (/ t 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
22.7b	(cos (- y (* z (/ t 3.0))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

15.0ms	(/ (/ a b) 3.0)
13.0ms	(* z (/ t 3.0))
27.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
7.0ms	(cos (- y (* z (/ t 3.0))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (/ a b) 3.0)
23.0ms	(* z (/ t 3.0))
156.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
49.0ms	(cos (- y (* z (/ t 3.0))))

simplify1.1s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	3255
1	721
0	286

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 14.3b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (* (sin (* (/ t 3.0) z)) 2.0))
0.9b	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
27.3b	(cos (* z (/ t 3.0)))
27.6b	(sin (* (/ t 3.0) z))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`associate-l` `add-log-exp`
3×	`sqrt-prod`
2×	`*-commutative`

Counts

4 → 56

Calls

4 calls:

40.0ms	(* (sin y) (* (sin (* (/ t 3.0) z)) 2.0))
100.0ms	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
7.0ms	(cos (* z (/ t 3.0)))
8.0ms	(sin (* (/ t 3.0) z))

series295.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (sin y) (* (sin (* (/ t 3.0) z)) 2.0))
185.0ms	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
17.0ms	(cos (* z (/ t 3.0)))
27.0ms	(sin (* (/ t 3.0) z))

simplify676.0ms

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	1106
1	237
0	102

prune650.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.2b

localize91.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt x) (* (cos (* z (* 0.3333333333333333 t))) (cos y)))
0.9b	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
27.6b	(sin (* (/ t 3.0) z))
27.9b	(cos (* z (* 0.3333333333333333 t)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

61.0ms	(* (sqrt x) (* (cos (* z (* 0.3333333333333333 t))) (cos y)))
75.0ms	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
10.0ms	(sin (* (/ t 3.0) z))
19.0ms	(cos (* z (* 0.3333333333333333 t)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (sqrt x) (* (cos (* z (* 0.3333333333333333 t))) (cos y)))
227.0ms	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
25.0ms	(sin (* (/ t 3.0) z))
12.0ms	(cos (* z (* 0.3333333333333333 t)))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1604
1	361
0	140

prune916.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 14.2b

localize80.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (exp (cos (* (* t 0.3333333333333333) z))))
0.9b	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
27.6b	(sin (* (/ t 3.0) z))
27.9b	(cos (* (* t 0.3333333333333333) z))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`log-pow` `add-log-exp`
3×	`log-prod` `exp-prod` `sqrt-prod`
1×	`rem-log-exp` `associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

4.0ms	(log (exp (cos (* (* t 0.3333333333333333) z))))
95.0ms	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
5.0ms	(sin (* (/ t 3.0) z))
11.0ms	(cos (* (* t 0.3333333333333333) z))

series244.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(log (exp (cos (* (* t 0.3333333333333333) z))))
190.0ms	(* (* (sin y) (* (sin (* (/ t 3.0) z)) 2.0)) (sqrt x))
26.0ms	(sin (* (/ t 3.0) z))
16.0ms	(cos (* (* t 0.3333333333333333) z))

simplify658.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1124
1	251
0	114

prune558.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 14.2b

regimes5.0s

Accuracy

34.1% (2.6b remaining)

Error of 19.3b against oracle of 16.7b and baseline of 20.6b

bsearch5.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	72
1	72
0	52

end0.0ms

sample6.9s

Algorithm

intervals

Results

1.5s	1625×	body	1280	valid
1.3s	9012×	body	80	nan
1.0s	5512×	body	80	valid
571.0ms	376×	body	2560	valid
509.0ms	928×	body	640	valid
456.0ms	449×	body	320	valid
79.0ms	225×	body	160	valid