Details

sample382.0ms

Algorithm

intervals

Results

217.0ms	89×	body	1280	valid
96.0ms	59×	body	640	valid
18.0ms	22×	body	320	valid
17.0ms	73×	body	80	valid
7.0ms	13×	body	160	valid

simplify44.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize341.0ms

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))
1.4b	(- (cos x) (cos y))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 94

Calls

4 calls:

167.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
11.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

series331.0ms

Counts

4 → 10

Calls

4 calls:

152.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
96.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
82.0ms	(- (cos x) (cos y))

simplify62.0ms

Counts: 104 → 104

prune747.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

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)))
1.4b	(- (cos x) (cos y))

rewrite684.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r`
17×	`*-un-lft-identity`
16×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp` `difference-of-squares`
4×	`sqrt-prod` `distribute-lft-out--`
3×	`*-commutative`
2×	`times-frac` `diff-cos` `unswap-sqr`
1×	`diff-log`

Counts

4 → 133

Calls

4 calls:

436.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
138.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
79.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
23.0ms	(- (cos x) (cos y))

series661.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
173.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
119.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
79.0ms	(- (cos x) (cos y))

simplify114.0ms

Counts: 145 → 145

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize94.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 3)
0.4b	(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
0.6b	(+ (cos y) (cos x))
1.2b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
17×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
10×	`add-cube-cbrt`
9×	`sqr-pow`
8×	`add-log-exp`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r/` `associate-l*`
5×	`distribute-lft-out--`
4×	`associate-r` `sqrt-prod`
3×	`sub-neg` `pow-unpow` `frac-sub` `sin-mult`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `unswap-sqr`
1×	`difference-cubes` `+-commutative` `cube-mult` `frac-times` `pow-to-exp` `pow-pow` `flip3-+` `sum-cos` `diff-log` `unpow3` `pow-prod-down` `associate-l/` `pow-exp` `prod-exp` `sum-log` `-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 102

Calls

4 calls:

4.0ms	(pow (cos y) 3)
55.0ms	(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
14.0ms	(+ (cos y) (cos x))
47.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series346.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (cos y) 3)
131.0ms	(* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0))))
65.0ms	(+ (cos y) (cos x))
106.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify68.0ms

Counts: 114 → 114

prune982.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize97.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cos y) 3)
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))))
0.6b	(+ (cos y) (cos x))
1.2b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
11×	`associate-*r/`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-l` `sqrt-prod` `sqr-pow`
8×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
5×	`sub-neg` `distribute-lft-out--`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `frac-sub` `cbrt-unprod` `sin-mult`
2×	`flip3--` `flip--`
1×	`difference-cubes` `+-commutative` `cube-mult` `frac-times` `pow-to-exp` `pow-pow` `flip3-+` `sum-cos` `diff-log` `unpow3` `associate-r` `associate-l/` `pow-exp` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 107

Calls

4 calls:

5.0ms	(pow (cos y) 3)
115.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))))
11.0ms	(+ (cos y) (cos x))
35.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series402.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (cos y) 3)
173.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))))
61.0ms	(+ (cos y) (cos x))
121.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify74.0ms

Counts: 119 → 119

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes229.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify49.0ms

end0.0ms

sample14.6s

Algorithm

intervals

Results

7.9s	2804×	body	1280	valid
3.8s	1827×	body	640	valid
1.1s	2254×	body	80	valid
1.0s	762×	body	320	valid
371.0ms	353×	body	160	valid