Details

sample192.0ms

Algorithm

intervals

Results

102.0ms	94×	body	1280	valid
44.0ms	66×	body	640	valid
14.0ms	22×	body	320	valid
10.0ms	70×	body	80	valid
1.0ms	4×	body	160	valid

simplify50.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30
done	5001	30

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

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)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.3b	(- (cos x) (cos y))

rewrite183.0ms

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:

107.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
57.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series280.0ms

Counts

4 → 10

Calls

4 calls:

134.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
88.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
58.0ms	(- (cos x) (cos y))

simplify65.0ms

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002
done	5003	1002

prune530.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.3b	(* (* (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)))
2.3b	(- (cos x) (cos y))

rewrite191.0ms

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:

37.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
93.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
49.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
7.0ms	(- (cos x) (cos y))

series362.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
133.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
57.0ms	(- (cos x) (cos y))

simplify78.0ms

Counts

132 → 132

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	751	1321
1	3282	1206
2	5001	1206
done	5001	1206

prune742.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
0.4b	(* (sqrt 2.0) (- (/ (sin y) 16.0)))
0.5b	(* (sqrt 2.0) (sin x))
2.3b	(- (cos x) (cos y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`associate-r`
30×	`*-un-lft-identity`
26×	`add-cube-cbrt`
19×	`times-frac`
16×	`associate-l`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`sqrt-prod`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`frac-times` `flip3--` `flip--`
3×	`sub-neg` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `difference-of-squares`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `div-inv` `distribute-lft-out--`
1×	`neg-mul-1` `diff-log` `distribute-rgt-neg-out` `diff-cos` `distribute-neg-frac` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

71.0ms	(* (+ (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
26.0ms	(* (sqrt 2.0) (- (/ (sin y) 16.0)))
12.0ms	(* (sqrt 2.0) (sin x))
9.0ms	(- (cos x) (cos y))

series342.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (+ (* (sqrt 2.0) (sin x)) (* (sqrt 2.0) (- (/ (sin y) 16.0)))) (- (sin y) (/ (sin x) 16.0)))
69.0ms	(* (sqrt 2.0) (- (/ (sin y) 16.0)))
47.0ms	(* (sqrt 2.0) (sin x))
55.0ms	(- (cos x) (cos y))

simplify97.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	729	1311
1	3356	1193
2	5001	1188
done	5001	1188

prune917.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (/ (sin y) 16.0)))
0.5b	(* (sqrt 2.0) (sin x))
2.3b	(- (cos x) (cos y))
5.2b	(log (exp (* (sqrt 2.0) (- (/ (sin y) 16.0)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
33×	`associate-r`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`times-frac`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`associate-l`
9×	`pow1`
8×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`add-log-exp`
4×	`unswap-sqr`
3×	`log-prod` `log-pow` `distribute-rgt-neg-out`
2×	`exp-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`
1×	`neg-mul-1` `sub-neg` `log-div` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `associate-*r/` `rem-log-exp` `log-rec` `flip--` `diff-cos` `distribute-neg-frac` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

27.0ms	(* (sqrt 2.0) (- (/ (sin y) 16.0)))
12.0ms	(* (sqrt 2.0) (sin x))
8.0ms	(- (cos x) (cos y))
7.0ms	(log (exp (* (sqrt 2.0) (- (/ (sin y) 16.0)))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (sqrt 2.0) (- (/ (sin y) 16.0)))
45.0ms	(* (sqrt 2.0) (sin x))
61.0ms	(- (cos x) (cos y))
74.0ms	(log (exp (* (sqrt 2.0) (- (/ (sin y) 16.0)))))

simplify52.0ms

Counts

116 → 116

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	466	718
1	1832	672
2	5001	672
done	5001	672

prune792.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

regimes201.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	44
1	64	44
2	67	44
3	67	44
done	67	44

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.1s	2766×	body	1280	valid
1.3s	1872×	body	640	valid
376.0ms	761×	body	320	valid
326.0ms	2284×	body	80	valid
100.0ms	317×	body	160	valid