Details

sample526.0ms

Algorithm

intervals

Results

224.0ms	97×	body	1280	valid
91.0ms	24×	body	320	valid
86.0ms	57×	body	640	valid
20.0ms	65×	body	80	valid
10.0ms	13×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	32	50
1	74	50
2	192	47
3	697	47
4	2907	47
done	5001	47

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-sqr-sqrt`
123×	`prod-diff`
119×	`*-un-lft-identity`
109×	`add-cube-cbrt`
56×	`times-frac`
52×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
12×	`associate-r` `associate-l`
9×	`flip3--` `flip--`
8×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
6×	`sub-neg` `fma-neg` `div-inv`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `log1p-expm1-u`
3×	`unswap-sqr`
2×	`diff-log` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 234

Calls

4 calls:

80.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
84.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

series280.0ms

Counts

4 → 10

Calls

4 calls:

113.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
103.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
64.0ms	(- (cos x) (cos y))

simplify2.3s

Counts

244 → 244

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	538	7482
1	1073	6428
2	3231	4816
done	5000	3982

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`sqrt-prod`
8×	`add-log-exp`
6×	`cbrt-prod` `fma-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`sub-neg` `flip3--` `pow1/3` `diff-log` `flip--` `distribute-lft-out--`
1×	`diff-cos`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt 16.0)
1.0ms	(cbrt 16.0)
12.0ms	(- 3.0 (sqrt 5.0))
12.0ms	(- (cos x) (cos y))

series93.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(- 3.0 (sqrt 5.0))
93.0ms	(- (cos x) (cos y))

simplify2.3s

Counts

99 → 99

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	189	1469
1	377	1098
2	807	901
3	2573	762
done	5002	695

prune990.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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))

rewrite29.0ms

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:

2.0ms	(cbrt 16.0)
2.0ms	(cbrt 16.0)
2.0ms	(cbrt 16.0)
19.0ms	(- (cos x) (cos y))

series123.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
123.0ms	(- (cos x) (cos y))

simplify2.3s

Counts

74 → 74

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	123	870
1	249	702
2	551	616
3	1775	546
done	5001	531

prune880.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (cos x) (cos y))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

261×	`prod-diff`
252×	`add-sqr-sqrt`
241×	`*-un-lft-identity`
235×	`add-cube-cbrt`
205×	`distribute-rgt-in` `distribute-lft-in`
163×	`times-frac`
31×	`sqrt-prod`
18×	`associate-l` `div-inv`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`sub-neg` `add-log-exp`
7×	`associate-r`
6×	`fma-neg` `associate-*r/`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-out--` `unswap-sqr`
2×	`diff-log` `*-commutative`
1×	`diff-cos`

Counts

4 → 374

Calls

4 calls:

110.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
200.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
9.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

series427.0ms

Counts

4 → 10

Calls

4 calls:

212.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
138.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
77.0ms	(- (cos x) (cos y))

simplify3.4s

Counts

384 → 384

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	690	16626
1	1245	13089
2	3063	9173
done	5001	7169

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes471.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	39	76
1	47	76
done	47	76

end0.0ms

sample16.1s

Algorithm

intervals

Results

8.3s	2727×	body	1280	valid
5.1s	1787×	body	640	valid
1.1s	853×	body	320	valid
871.0ms	2248×	body	80	valid
373.0ms	385×	body	160	valid