Details

sample303.0ms

Algorithm

intervals

Results

121.0ms	88×	body	1280	valid
50.0ms	26×	body	320	valid
49.0ms	57×	body	640	valid
12.0ms	67×	body	80	valid
8.0ms	18×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2752
3	622
2	177
1	74
0	32

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize111.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
18×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
9×	`associate-r`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`distribute-lft-out--`
4×	`sub-neg` `unswap-sqr`
3×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-r/` `-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 102

Calls

4 calls:

47.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
76.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

series281.0ms

Counts

4 → 10

Calls

4 calls:

99.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
99.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
82.0ms	(- (cos x) (cos y))

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1823
1	597
0	248

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize92.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.9b	(- (cos x) (cos y))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`associate-l`
21×	`times-frac`
19×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
15×	`associate-r`
13×	`pow1`
11×	`difference-of-squares`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `unswap-sqr`
3×	`associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 120

Calls

4 calls:

148.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
42.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
70.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms	(- (cos x) (cos y))

series480.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
127.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
115.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
62.0ms	(- (cos x) (cos y))

simplify2.1s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2724
1	782
0	288

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize130.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(/ 1 (sqrt 2.0))
1.9b	(- (cos x) (cos y))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
23×	`add-cube-cbrt`
20×	`times-frac`
16×	`sqrt-prod`
15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
12×	`associate-r`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`associate-/r*` `add-log-exp`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow-flip` `associate-/l*` `distribute-lft-out--`
2×	`div-exp` `associate-l/` `-commutative` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `1-exp` `div-inv` `diff-cos` `inv-pow`

Counts

4 → 124

Calls

4 calls:

99.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
84.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(/ 1 (sqrt 2.0))
14.0ms	(- (cos x) (cos y))

series440.0ms

Counts

4 → 10

Calls

4 calls:

218.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
142.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(/ 1 (sqrt 2.0))
79.0ms	(- (cos x) (cos y))

simplify2.0s

Counts

134 → 134

Iterations

Iter	Nodes
done	5003
2	2113
1	656
0	260

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize137.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(/ 1 (sqrt 2.0))
1.9b	(- (cos x) (cos y))
4.1b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`times-frac`
16×	`sqrt-prod`
10×	`add-exp-log`
9×	`pow1`
8×	`add-cbrt-cube`
7×	`log-prod` `add-log-exp`
6×	`associate-/r` `associate-r` `associate-l*`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
3×	`log-pow` `pow-flip` `associate-/l*` `difference-of-squares`
2×	`flip3--` `div-exp` `associate-*r/` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `exp-prod` `clear-num` `frac-2neg` `sqrt-pow1` `exp-to-pow` `pow1/2` `diff-log` `1-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `diff-cos` `inv-pow`

Counts

4 → 109

Calls

4 calls:

68.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
11.0ms	(/ 1 (sqrt 2.0))
14.0ms	(- (cos x) (cos y))
11.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series434.0ms

Counts

4 → 10

Calls

4 calls:

160.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(/ 1 (sqrt 2.0))
94.0ms	(- (cos x) (cos y))
179.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify2.8s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
3	3295
2	971
1	402
0	201

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes458.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	55
1	55
0	41

end0.0ms

sample16.6s

Algorithm

intervals

Results

10.1s	2725×	body	1280	valid
3.6s	1878×	body	640	valid
1.3s	734×	body	320	valid
788.0ms	2308×	body	80	valid
300.0ms	355×	body	160	valid