Details

sample440.0ms

Algorithm

intervals

Results

212.0ms	92×	body	1280	valid
132.0ms	49×	body	640	valid
24.0ms	79×	body	80	valid
22.0ms	18×	body	320	valid
13.0ms	18×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
4	3022
3	657
2	188
1	74
0	32

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.9b	(- (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
105×	`prod-diff`
103×	`*-un-lft-identity`
97×	`add-cube-cbrt`
58×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`div-inv`
6×	`pow1` `fma-neg` `associate-r` `associate-l` `associate-*r/`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `associate-/r/` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `flip3--` `flip-+` `flip--` `associate-/l*` `distribute-lft-out--`
2×	`cbrt-undiv` `diff-log` `div-exp` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `diff-cos`

Counts

4 → 211

Calls

4 calls:

70.0ms	(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))))
36.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
17.0ms	(- (cos x) (cos y))
6.0ms	(- 3.0 (sqrt 5.0))

series2.3s

Counts

4 → 10

Calls

4 calls:

2.0s	(/ (+ 2.0 (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))) (* 3.0 (+ (+ 1.0 (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))) (* (/ (- 3.0 (sqrt 5.0)) 2.0) (cos y)))))
145.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
91.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify2.2s

Counts

221 → 221

Iterations

Iter	Nodes
done	5001
1	1614
0	619

prune2.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize189.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ (sin y) 16.0))
0.7b	(cbrt (/ (sin y) 16.0))
0.9b	(- (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
38×	`add-cube-cbrt`
27×	`prod-diff`
26×	`cbrt-prod`
18×	`times-frac`
10×	`sqrt-prod`
8×	`add-log-exp`
6×	`fma-neg`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`cbrt-div` `sub-neg` `flip3--` `pow1/3` `diff-log` `div-inv` `flip--` `distribute-lft-out--`
1×	`diff-cos`

Counts

4 → 119

Calls

4 calls:

3.0ms	(cbrt (/ (sin y) 16.0))
3.0ms	(cbrt (/ (sin y) 16.0))
14.0ms	(- (cos x) (cos y))
10.0ms	(- 3.0 (sqrt 5.0))

series423.0ms

Counts

4 → 10

Calls

4 calls:

189.0ms	(cbrt (/ (sin y) 16.0))
163.0ms	(cbrt (/ (sin y) 16.0))
71.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	3704
2	1246
1	532
0	259

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (cos x) (cos y))
0.9b	(- (cos x) (cos y))
0.9b	(- (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
45×	`prod-diff`
38×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
10×	`sqrt-prod`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`
3×	`diff-cos`

Counts

4 → 129

Calls

4 calls:

7.0ms	(- (cos x) (cos y))
7.0ms	(- (cos x) (cos y))
7.0ms	(- (cos x) (cos y))
6.0ms	(- 3.0 (sqrt 5.0))

series215.0ms

Counts

4 → 10

Calls

4 calls:

71.0ms	(- (cos x) (cos y))
79.0ms	(- (cos x) (cos y))
65.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify1.5s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
3	1897
2	691
1	323
0	152

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize183.0ms

Local error

Found 4 expressions with local error:

0.9b	(- (cos x) (cos y))
0.9b	(- (cos x) (cos y))
0.9b	(- (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
45×	`prod-diff`
38×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
10×	`sqrt-prod`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--`
3×	`diff-cos`

Counts

4 → 129

Calls

4 calls:

7.0ms	(- (cos x) (cos y))
10.0ms	(- (cos x) (cos y))
14.0ms	(- (cos x) (cos y))
10.0ms	(- 3.0 (sqrt 5.0))

series213.0ms

Counts

4 → 10

Calls

4 calls:

65.0ms	(- (cos x) (cos y))
66.0ms	(- (cos x) (cos y))
81.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify2.8s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
3	3668
2	961
1	397
0	179

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	45
1	45
0	35

end0.0ms

sample16.4s

Algorithm

intervals

Results

8.8s	2739×	body	1280	valid
4.8s	1840×	body	640	valid
973.0ms	768×	body	320	valid
896.0ms	2302×	body	80	valid
650.0ms	351×	body	160	valid