Details

sample191.0ms

Algorithm

intervals

Results

102.0ms	88×	body	1280	valid
43.0ms	61×	body	640	valid
13.0ms	28×	body	320	valid
10.0ms	69×	body	80	valid
3.0ms	10×	body	160	valid

simplify794.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	32	50
1	74	50
2	187	47
3	587	47
4	1935	47
done	5000	47

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

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))
1.7b	(- (cos x) (cos y))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

184×	`add-sqr-sqrt`
183×	`prod-diff`
172×	`*-un-lft-identity`
164×	`add-cube-cbrt`
110×	`times-frac`
82×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
12×	`associate-r` `div-inv`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg` `fma-neg`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--`
2×	`diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 291

Calls

4 calls:

65.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
40.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series285.0ms

Counts

4 → 10

Calls

4 calls:

136.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
59.0ms	(- (cos x) (cos y))

simplify646.0ms

Counts

301 → 301

Iterations

Useful iterations: done (631.0ms)

Iter	Nodes	Cost
0	732	12252
1	1688	10920
done	5000	10032

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 5.0)
1.0b	(cbrt 5.0)
1.7b	(- (cos x) (cos y))
2.3b	(fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
6×	`cbrt-prod` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt 5.0)
1.0ms	(cbrt 5.0)
4.0ms	(- (cos x) (cos y))
0.0ms	(fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))

series53.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 5.0)
0.0ms	(cbrt 5.0)
53.0ms	(- (cos x) (cos y))
0.0ms	(fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: 3 (322.0ms)

Iter	Nodes	Cost
0	132	967
1	246	802
2	599	678
3	2551	602
done	5000	602

prune634.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 5.0)
1.0b	(cbrt 5.0)
1.7b	(- (cos x) (cos y))
2.3b	(fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
6×	`cbrt-prod` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt 5.0)
0.0ms	(cbrt 5.0)
4.0ms	(- (cos x) (cos y))
1.0ms	(fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))

series58.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 5.0)
0.0ms	(cbrt 5.0)
58.0ms	(- (cos x) (cos y))
0.0ms	(fma (sqrt 3.0) (sqrt 3.0) (- (* (sqrt (cbrt 5.0)) (fabs (cbrt 5.0)))))

simplify1.2s

Counts

71 → 71

Iterations

Useful iterations: 3 (324.0ms)

Iter	Nodes	Cost
0	134	976
1	250	792
2	605	678
3	2556	602
done	5001	602

prune863.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.7b	(- (cos x) (cos y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`cbrt-prod` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `diff-cos` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
4.0ms	(- (cos x) (cos y))

series55.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
55.0ms	(- (cos x) (cos y))

simplify1.3s

Counts

74 → 74

Iterations

Useful iterations: 3 (362.0ms)

Iter	Nodes	Cost
0	125	933
1	258	807
2	700	646
3	2980	576
done	5001	576

prune549.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	65
1	41	65
done	41	65

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.1s	2801×	body	1280	valid
1.3s	1817×	body	640	valid
374.0ms	726×	body	320	valid
339.0ms	2321×	body	80	valid
110.0ms	335×	body	160	valid