Details

sample223.0ms

Algorithm

intervals

Results

80.0ms	330×	body	80	nan
43.0ms	61×	body	1280	valid
20.0ms	182×	body	80	valid
13.0ms	11×	body	2560	valid
12.0ms	27×	body	640	valid
2.0ms	7×	body	320	valid
1.0ms	6×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.8b

localize50.0ms

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)))))
24.1b	(cos (- y (* z (/ t 3.0))))

rewrite77.0ms

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:

16.0ms	(* z (/ t 3.0))
10.0ms	(/ (/ a b) 3.0)
39.0ms	(* (* 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:

38.0ms	(* z (/ t 3.0))
24.0ms	(/ (/ a b) 3.0)
129.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
68.0ms	(cos (- y (* z (/ t 3.0))))

simplify1.2s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	3261
1	721
0	286

prune1.4s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (* z (/ t 3.0))) (cos y)) (* (sin y) (sin (* z (/ t 3.0))))))
0.3b	(* (sin y) (sin (* z (/ t 3.0))))
28.6b	(cos (* z (/ t 3.0)))
28.7b	(sin (* z (/ t 3.0)))

rewrite126.0ms

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:

91.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* z (/ t 3.0))) (cos y)) (* (sin y) (sin (* z (/ t 3.0))))))
23.0ms	(* (sin y) (sin (* z (/ t 3.0))))
5.0ms	(cos (* z (/ t 3.0)))
5.0ms	(sin (* z (/ t 3.0)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* z (/ t 3.0))) (cos y)) (* (sin y) (sin (* z (/ t 3.0))))))
64.0ms	(* (sin y) (sin (* z (/ t 3.0))))
20.0ms	(cos (* z (/ t 3.0)))
26.0ms	(sin (* z (/ t 3.0)))

simplify1.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
2	2131
1	388
0	140

prune959.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 16.6b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (* z (* t 0.3333333333333333))))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos (* z (/ t 3.0))) (cos y)) (* (sin y) (sin (* z (* t 0.3333333333333333))))))
28.4b	(sin (* z (* t 0.3333333333333333)))
28.6b	(cos (* z (/ t 3.0)))

rewrite207.0ms

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:

27.0ms	(* (sin y) (sin (* z (* t 0.3333333333333333))))
134.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* z (/ t 3.0))) (cos y)) (* (sin y) (sin (* z (* t 0.3333333333333333))))))
37.0ms	(sin (* z (* t 0.3333333333333333)))
8.0ms	(cos (* z (/ t 3.0)))

series407.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sin y) (sin (* z (* t 0.3333333333333333))))
285.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos (* z (/ t 3.0))) (cos y)) (* (sin y) (sin (* z (* t 0.3333333333333333))))))
31.0ms	(sin (* z (* t 0.3333333333333333)))
19.0ms	(cos (* z (/ t 3.0)))

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	2175
1	394
0	142

prune1.0s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 14.7b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ a b) 3.0)
0.2b	(* (sin y) (sin (* z (* t 0.3333333333333333))))
28.4b	(sin (* z (* t 0.3333333333333333)))
28.5b	(cos (* z (* t 0.3333333333333333)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
50×	`add-sqr-sqrt`
48×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r` `associate-l*`
1×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `sin-mult` `unswap-sqr` `associate-/l/`

Counts

4 → 103

Calls

4 calls:

18.0ms	(/ (/ a b) 3.0)
50.0ms	(* (sin y) (sin (* z (* t 0.3333333333333333))))
20.0ms	(sin (* z (* t 0.3333333333333333)))
26.0ms	(cos (* z (* t 0.3333333333333333)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (/ a b) 3.0)
69.0ms	(* (sin y) (sin (* z (* t 0.3333333333333333))))
32.0ms	(sin (* z (* t 0.3333333333333333)))
21.0ms	(cos (* z (* t 0.3333333333333333)))

simplify1000.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1866
1	451
0	205

prune1.4s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 14.7b

regimes3.0s

Accuracy

0% (4.5b remaining)

Error of 20.0b against oracle of 15.5b and baseline of 20.0b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	36
2	36
1	35
0	29

end0.0ms

sample8.1s

Algorithm

intervals

Results

2.2s	9299×	body	80	nan
1.3s	1634×	body	1280	valid
1.3s	348×	body	2560	valid
966.0ms	5587×	body	80	valid
542.0ms	915×	body	640	valid
211.0ms	465×	body	320	valid
55.0ms	217×	body	160	valid