Details

sample309.0ms

Algorithm

intervals

Results

164.0ms	84×	body	1280	valid
49.0ms	50×	body	640	valid
47.0ms	34×	body	320	valid
15.0ms	75×	body	80	valid
6.0ms	13×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

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)))
1.0b	(- 3.0 (sqrt 5.0))
1.4b	(- (cos x) (cos y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

43.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
59.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series291.0ms

Counts

4 → 10

Calls

4 calls:

104.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
126.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
60.0ms	(- (cos x) (cos y))

simplify925.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (344.0ms)

Iter	Nodes	Cost
0	247	1369
1	599	1334
2	2340	1232
done	5001	1232

prune663.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.6b	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
1.0b	(- 3.0 (sqrt 5.0))
1.4b	(- (cos x) (cos y))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
37×	`associate-l`
36×	`add-exp-log`
35×	`*-un-lft-identity`
28×	`times-frac`
27×	`add-cbrt-cube`
26×	`sqrt-prod`
23×	`add-cube-cbrt`
16×	`prod-exp`
11×	`pow1` `cbrt-unprod` `difference-of-squares`
9×	`div-exp`
8×	`add-log-exp`
7×	`associate-r`
6×	`distribute-lft-out--`
5×	`cbrt-undiv`
4×	`sub-neg` `pow-prod-down`
3×	`flip3--` `1-exp` `associate-r/` `associate-l/` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `*-commutative` `unswap-sqr`
1×	`frac-times` `div-inv` `diff-cos`

Counts

4 → 121

Calls

4 calls:

51.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
100.0ms	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
7.0ms	(- 3.0 (sqrt 5.0))
8.0ms	(- (cos x) (cos y))

series289.0ms

Counts

4 → 10

Calls

4 calls:

118.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
112.0ms	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
0.0ms	(- 3.0 (sqrt 5.0))
58.0ms	(- (cos x) (cos y))

simplify1.9s

Counts

131 → 131

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	277	2243
1	725	1963
2	3728	1551
done	5000	1527

prune874.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (- (cos x) (cos y)) 3)
0.6b	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
1.0b	(- 3.0 (sqrt 5.0))
1.4b	(- (cos x) (cos y))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
35×	`add-exp-log`
31×	`associate-l`
27×	`times-frac`
26×	`add-cbrt-cube`
23×	`add-cube-cbrt`
22×	`sqrt-prod`
15×	`prod-exp`
11×	`difference-of-squares`
10×	`pow1` `cbrt-unprod`
9×	`div-exp`
8×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`unpow-prod-down` `cube-prod`
5×	`cbrt-undiv`
3×	`pow-unpow` `flip3--` `1-exp` `pow-prod-down` `associate-*l/` `flip--` `diff-cos`
2×	`cube-div` `sub-neg` `diff-log`
1×	`cube-mult` `frac-times` `pow-to-exp` `pow-pow` `unpow3` `associate-r/` `associate-r` `pow-exp` `-commutative` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 121

Calls

4 calls:

10.0ms	(pow (- (cos x) (cos y)) 3)
94.0ms	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
17.0ms	(- 3.0 (sqrt 5.0))
13.0ms	(- (cos x) (cos y))

series298.0ms

Counts

4 → 10

Calls

4 calls:

105.0ms	(pow (- (cos x) (cos y)) 3)
115.0ms	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
0.0ms	(- 3.0 (sqrt 5.0))
78.0ms	(- (cos x) (cos y))

simplify2.2s

Counts

131 → 131

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	255	2251
1	780	1923
2	3991	1510
done	5001	1444

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (- (cos x) (cos y)) 3))
0.6b	(pow (- (cos x) (cos y)) 3)
0.6b	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
1.4b	(- (cos x) (cos y))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
35×	`add-exp-log`
31×	`associate-l`
27×	`times-frac`
26×	`add-cube-cbrt` `add-cbrt-cube`
21×	`sqrt-prod`
18×	`cbrt-prod`
15×	`prod-exp`
12×	`unpow-prod-down` `cube-prod`
11×	`difference-of-squares`
10×	`pow1` `cbrt-unprod`
9×	`div-exp`
8×	`distribute-lft-out--`
6×	`add-log-exp`
5×	`cbrt-undiv` `diff-cos`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `1-exp` `pow-prod-down` `associate-*l/` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`frac-times` `pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `associate-r/` `associate-r` `pow-exp` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 135

Calls

4 calls:

9.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
10.0ms	(pow (- (cos x) (cos y)) 3)
131.0ms	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
7.0ms	(- (cos x) (cos y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
94.0ms	(pow (- (cos x) (cos y)) 3)
117.0ms	(* (/ (sqrt (- (sqrt 5.0) 1.0)) 1) (* (/ (sqrt (- (sqrt 5.0) 1.0)) 2.0) (cos x)))
85.0ms	(- (cos x) (cos y))

simplify2.9s

Counts

147 → 147

Iterations

Useful iterations: 2 (935.0ms)

Iter	Nodes	Cost
0	233	2560
1	702	2109
2	4367	1882
done	5000	1882

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes293.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: done (12.0ms)

Iter	Nodes	Cost
0	42	68
1	55	68
done	55	66

end0.0ms

sample14.7s

Algorithm

intervals

Results

7.3s	2738×	body	1280	valid
3.9s	1829×	body	640	valid
1.6s	761×	body	320	valid
1.1s	2298×	body	80	valid
319.0ms	374×	body	160	valid