Details

sample330.0ms

Algorithm

intervals

Results

142.0ms	81×	body	1280	valid
110.0ms	63×	body	640	valid
21.0ms	27×	body	320	valid
16.0ms	73×	body	80	valid
6.0ms	12×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3399
3	699
2	192
1	74
0	32

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize75.0ms

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)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.0b	(- (cos x) (cos y))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

184×	`add-sqr-sqrt`
183×	`prod-diff`
172×	`*-un-lft-identity`
164×	`add-cube-cbrt`
110×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
12×	`associate-r` `div-inv`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg` `fma-neg`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
2×	`diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 291

Calls

4 calls:

126.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
65.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series352.0ms

Counts

4 → 10

Calls

4 calls:

162.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
124.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
66.0ms	(- (cos x) (cos y))

simplify1.8s

Counts

301 → 301

Iterations

Iter	Nodes
done	5001
1	2011
0	738

prune3.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize122.0ms

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))) (- (cos x) (cos y)))
0.3b	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b	(- (cos x) (cos y))

rewrite958.0ms

Algorithm

rewrite-expression-head

Rules

183×	`prod-diff`
182×	`add-sqr-sqrt`
172×	`*-un-lft-identity`
164×	`add-cube-cbrt`
110×	`times-frac`
93×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`associate-r`
16×	`associate-*l/`
12×	`div-inv`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`sub-neg`
6×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `distribute-lft-out--`
3×	`fma-neg` `*-commutative`
2×	`diff-cos` `unswap-sqr`
1×	`diff-log`

Counts

4 → 327

Calls

4 calls:

332.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
534.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
56.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- (cos x) (cos y))

series650.0ms

Counts

4 → 12

Calls

4 calls:

261.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
201.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
110.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
77.0ms	(- (cos x) (cos y))

simplify1.8s

Counts

339 → 339

Iterations

Iter	Nodes
done	5001
1	2251
0	751

prune4.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize123.0ms

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)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b	(- (cos x) (cos y))
2.8b	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

183×	`prod-diff`
180×	`add-sqr-sqrt`
170×	`*-un-lft-identity`
164×	`add-cube-cbrt`
110×	`times-frac`
93×	`distribute-rgt-in` `distribute-lft-in`
25×	`log-prod`
22×	`exp-sum`
12×	`pow1` `associate-r` `div-inv`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sub-neg` `associate-l` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg` `log-pow` `distribute-lft-out--`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `diff-log` `rem-log-exp` `diff-cos`

Counts

4 → 291

Calls

4 calls:

135.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
63.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
6.0ms	(- (cos x) (cos y))
11.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series720.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* (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)))
72.0ms	(- (cos x) (cos y))
311.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify2.0s

Counts

303 → 303

Iterations

Iter	Nodes
done	5001
1	2072
0	762

prune4.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize190.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (cos x) (cos y))
2.0b	(- (cos x) (cos y))
3.4b	(log (sqrt (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))))
3.4b	(log (sqrt (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

56×	`log-prod`
54×	`prod-diff`
50×	`add-sqr-sqrt` `*-un-lft-identity` `sqrt-prod`
46×	`add-cube-cbrt`
44×	`exp-sum`
22×	`distribute-rgt-in` `distribute-lft-in`
10×	`log-pow` `add-log-exp`
8×	`pow1`
6×	`sub-neg` `sqrt-pow1` `fma-neg` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `rem-log-exp` `diff-cos` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 144

Calls

4 calls:

13.0ms	(- (cos x) (cos y))
7.0ms	(- (cos x) (cos y))
13.0ms	(log (sqrt (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))))
22.0ms	(log (sqrt (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))))

series2.1s

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (cos x) (cos y))
63.0ms	(- (cos x) (cos y))
958.0ms	(log (sqrt (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))))
1.0s	(log (sqrt (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y))))))

simplify1.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	2090
1	502
0	249

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes369.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	47
1	47
0	37

end0.0ms

sample13.1s

Algorithm

intervals

Results

7.7s	2750×	body	1280	valid
3.4s	1864×	body	640	valid
709.0ms	745×	body	320	valid
663.0ms	2301×	body	80	valid
279.0ms	340×	body	160	valid