Details

sample377.0ms

Algorithm

intervals

Results

229.0ms	89×	body	1280	valid
70.0ms	57×	body	640	valid
19.0ms	76×	body	80	valid
16.0ms	18×	body	320	valid
11.0ms	16×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3399
3	699
2	192
1	74
0	32

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
0.4b	(* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0))
1.0b	(- 3.0 (sqrt 5.0))
1.3b	(- (cos x) (cos y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
14×	`sqrt-prod`
8×	`add-log-exp`
6×	`pow1` `add-cbrt-cube` `fma-neg` `associate-r` `associate-l` `add-exp-log`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out--`
2×	`sub-neg` `diff-log` `associate-*l/` `unswap-sqr`
1×	`times-frac` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `diff-cos`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
78.0ms	(* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0))
14.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series493.0ms

Counts

4 → 10

Calls

4 calls:

300.0ms	(fma (cos x) (/ (- (sqrt 5.0) 1.0) 2.0) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
106.0ms	(* (- (sin y) (/ (sin x) 16.0)) (sqrt 2.0))
0.0ms	(- 3.0 (sqrt 5.0))
87.0ms	(- (cos x) (cos y))

simplify1.3s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2204
1	596
0	267

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
0.4b	(* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))
1.0b	(- 3.0 (sqrt 5.0))
1.3b	(- (cos x) (cos y))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
56×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
50×	`add-cube-cbrt`
44×	`distribute-rgt-in` `distribute-lft-in`
13×	`sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`flip3--` `flip--` `add-log-exp`
6×	`sub-neg` `fma-neg` `associate-l`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`diff-log` `associate-*l/` `distribute-lft-out--`
1×	`associate-r` `*-commutative` `fma-udef` `diff-cos`

Counts

4 → 152

Calls

4 calls:

0.0ms	(fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
119.0ms	(* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))
9.0ms	(- 3.0 (sqrt 5.0))
7.0ms	(- (cos x) (cos y))

series609.0ms

Counts

4 → 10

Calls

4 calls:

329.0ms	(fma (/ (- (sqrt 5.0) 1.0) 2.0) (cos x) (fma (/ (cos y) 2.0) (- 3.0 (sqrt 5.0)) 1.0))
196.0ms	(* (sqrt 2.0) (* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y))))
0.0ms	(- 3.0 (sqrt 5.0))
85.0ms	(- (cos x) (cos y))

simplify1.8s

Counts

162 → 162

Iterations

Iter	Nodes
done	5000
2	3430
1	810
0	348

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cos x) 3)
0.5b	(+ (* (cos y) (cos y)) (* (cos x) (cos y)))
1.0b	(- 3.0 (sqrt 5.0))
1.1b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

162×	`prod-diff`
123×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
95×	`add-cube-cbrt`
90×	`unpow-prod-down` `cube-prod`
34×	`sqr-pow`
26×	`cube-mult` `unpow3`
18×	`difference-of-squares`
15×	`fma-neg`
10×	`sqrt-prod` `add-log-exp`
6×	`distribute-lft-out--`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow`
2×	`sub-neg` `flip3--` `diff-log` `cos-mult` `flip--`
1×	`pow-to-exp` `difference-cubes` `+-commutative` `sqr-cos` `associate-+l+` `sum-log` `pow-pow` `fma-def` `flip3-+` `distribute-rgt-out` `frac-add` `pow-exp` `flip-+` `rem-cube-cbrt`

Counts

4 → 272

Calls

4 calls:

5.0ms	(pow (cos x) 3)
21.0ms	(+ (* (cos y) (cos y)) (* (cos x) (cos y)))
13.0ms	(- 3.0 (sqrt 5.0))
44.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series282.0ms

Counts

4 → 10

Calls

4 calls:

43.0ms	(pow (cos x) 3)
96.0ms	(+ (* (cos y) (cos y)) (* (cos x) (cos y)))
0.0ms	(- 3.0 (sqrt 5.0))
143.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify2.9s

Counts

282 → 282

Iterations

Iter	Nodes
done	5000
2	4531
1	923
0	361

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize149.0ms

Local error

Found 4 expressions with local error:

1.0b	(- 3.0 (sqrt 5.0))
1.1b	(- (pow (cos x) 3) (pow (cos y) 3))
1.1b	(- (pow (cos x) 3) (pow (cos y) 3))
1.1b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

450×	`prod-diff`
318×	`add-sqr-sqrt`
274×	`*-un-lft-identity`
261×	`unpow-prod-down` `cube-prod`
242×	`add-cube-cbrt`
99×	`sqr-pow`
75×	`cube-mult` `unpow3`
50×	`difference-of-squares`
39×	`fma-neg`
16×	`distribute-lft-out--`
12×	`add-log-exp`
10×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`
3×	`difference-cubes`

Counts

4 → 614

Calls

4 calls:

12.0ms	(- 3.0 (sqrt 5.0))
27.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
36.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
34.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series385.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(- 3.0 (sqrt 5.0))
117.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
147.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
120.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify2.6s

Counts

624 → 624

Iterations

Iter	Nodes
done	5000
2	2557
1	640
0	278

prune2.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes607.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	43
1	43
0	38

end0.0ms

sample15.6s

Algorithm

intervals

Results

7.6s	2660×	body	1280	valid
5.5s	1903×	body	640	valid
1.0s	792×	body	320	valid
665.0ms	2284×	body	80	valid
346.0ms	361×	body	160	valid