Details

sample454.0ms

Algorithm

intervals

Results

238.0ms	88×	body	1280	valid
116.0ms	57×	body	640	valid
25.0ms	26×	body	320	valid
20.0ms	67×	body	80	valid
10.0ms	18×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3141
3	655
2	181
1	74
0	32

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize96.0ms

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))

rewrite126.0ms

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:

55.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
47.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
13.0ms	(- 3.0 (sqrt 5.0))
6.0ms	(- (cos x) (cos y))

series392.0ms

Counts

4 → 10

Calls

4 calls:

140.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
153.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
99.0ms	(- (cos x) (cos y))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	2326
1	597
0	248

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize120.0ms

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))

rewrite265.0ms

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:

129.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
51.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
75.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms	(- (cos x) (cos y))

series510.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
126.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
127.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
77.0ms	(- (cos x) (cos y))

simplify2.5s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	3742
1	782
0	288

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize144.0ms

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))

rewrite197.0ms

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:

131.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
43.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(/ 1 (sqrt 2.0))
11.0ms	(- (cos x) (cos y))

series434.0ms

Counts

4 → 10

Calls

4 calls:

224.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
129.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(/ 1 (sqrt 2.0))
81.0ms	(- (cos x) (cos y))

simplify2.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	3617
1	659
0	260

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize178.0ms

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)))))

rewrite93.0ms

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:

55.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
12.0ms	(/ 1 (sqrt 2.0))
12.0ms	(- (cos x) (cos y))
11.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series427.0ms

Counts

4 → 10

Calls

4 calls:

143.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(/ 1 (sqrt 2.0))
107.0ms	(- (cos x) (cos y))
177.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1746
1	405
0	201

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes486.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	55
1	55
0	41

end0.0ms

sample16.0s

Algorithm

intervals

Results

8.0s	2725×	body	1280	valid
4.3s	1878×	body	640	valid
1.9s	2308×	body	80	valid
964.0ms	734×	body	320	valid
286.0ms	355×	body	160	valid