Details

sample388.0ms

Algorithm

intervals

Results

155.0ms	86×	body	1280	valid
104.0ms	56×	body	640	valid
63.0ms	79×	body	80	valid
22.0ms	26×	body	320	valid
5.0ms	9×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	50
1	74	50
2	181	50
3	656	50
4	3157	50
done	5000	50

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize94.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (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	(- 3.0 (sqrt 5.0))
2.2b	(- (cos x) (cos y))

rewrite227.0ms

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:

117.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
68.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
24.0ms	(- 3.0 (sqrt 5.0))
13.0ms	(- (cos x) (cos y))

series441.0ms

Counts

4 → 10

Calls

4 calls:

198.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
151.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
92.0ms	(- (cos x) (cos y))

simplify1.6s

Counts

104 → 104

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	238	1837
1	646	1782
2	2893	1629
done	5000	1621

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize84.0ms

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))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.2b	(- (cos x) (cos y))

rewrite321.0ms

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-exp-log` `add-cbrt-cube`
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:

63.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
157.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
85.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
10.0ms	(- (cos x) (cos y))

series602.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
234.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
162.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
64.0ms	(- (cos x) (cos y))

simplify2.1s

Counts

132 → 132

Iterations

Useful iterations: 2 (662.0ms)

Iter	Nodes	Cost
0	284	2218
1	777	2159
2	3698	1958
done	5001	1958

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize138.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.3b	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
0.4b	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
2.2b	(- (cos x) (cos y))

rewrite698.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

81.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
112.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
487.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
8.0ms	(- (cos x) (cos y))

series594.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
190.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
192.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
82.0ms	(- (cos x) (cos y))

simplify2.5s

Counts

139 → 139

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	302	2660
1	833	2586
2	4283	2139
done	5000	2122

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
0.4b	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
2.2b	(- (cos x) (cos y))
2.3b	(log (exp (- (cos x) (cos y))))

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

117.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
371.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
25.0ms	(- (cos x) (cos y))
26.0ms	(log (exp (- (cos x) (cos y))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
244.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
75.0ms	(- (cos x) (cos y))
60.0ms	(log (exp (- (cos x) (cos y))))

simplify2.9s

Counts

119 → 119

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	245	2334
1	662	2224
2	3382	1805
done	5000	1792

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes381.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	65
1	52	65
done	52	65

end0.0ms

sample14.0s

Algorithm

intervals

Results

7.7s	2672×	body	1280	valid
2.8s	1854×	body	640	valid
1.4s	2381×	body	80	valid
1.3s	754×	body	320	valid
301.0ms	339×	body	160	valid