Details

sample400.0ms

Algorithm

intervals

Results

176.0ms	89×	body	1280	valid
121.0ms	59×	body	640	valid
31.0ms	30×	body	320	valid
31.0ms	68×	body	80	valid
6.0ms	10×	body	160	valid

simplify1.7s

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize87.0ms

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

rewrite248.0ms

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:

155.0ms	(* (* (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)))
8.0ms	(- (cos x) (cos y))
12.0ms	(- 3.0 (sqrt 5.0))

series369.0ms

Counts

4 → 10

Calls

4 calls:

171.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
121.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
77.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify1.4s

Counts

104 → 104

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	238	1837
1	646	1782
2	2902	1629
done	5000	1621

prune806.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

327.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
79.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
11.0ms	(- (cos x) (cos y))
11.0ms	(- 3.0 (sqrt 5.0))

series394.0ms

Counts

4 → 10

Calls

4 calls:

209.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
113.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
72.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	238	2402
1	636	1929
2	2768	1684
done	5001	1682

prune848.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize48.0ms

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)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.9b	(- (cos x) (cos y))

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
32×	`associate-l`
29×	`*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow1` `times-frac`
19×	`add-cube-cbrt`
18×	`associate-*r/`
12×	`sqrt-prod`
11×	`prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `pow-prod-down`
9×	`difference-of-squares`
8×	`flip3--` `flip--`
7×	`sub-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`frac-times`
3×	`associate-l/` `-commutative`
2×	`unswap-sqr`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 126

Calls

4 calls:

58.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
401.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
100.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
8.0ms	(- (cos x) (cos y))

series487.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
179.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
115.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
68.0ms	(- (cos x) (cos y))

simplify2.0s

Counts

138 → 138

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	296	2822
1	809	2345
2	3623	2066
done	5000	2060

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize125.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.5b	(log (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))
0.9b	(- (cos x) (cos y))

rewrite600.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

434.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
130.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
12.0ms	(log (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))
16.0ms	(- (cos x) (cos y))

series538.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
137.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
112.0ms	(log (exp (* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))))
84.0ms	(- (cos x) (cos y))

simplify1.8s

Counts

111 → 111

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	250	2540
1	662	2047
2	2872	1788
done	5002	1782

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes340.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	99
1	51	99
done	51	99

end0.0ms

sample14.6s

Algorithm

intervals

Results

7.8s	2728×	body	1280	valid
2.9s	1838×	body	640	valid
1.4s	2322×	body	80	valid
1.3s	737×	body	320	valid
760.0ms	375×	body	160	valid