Details

sample180.0ms

Algorithm

intervals

Results

91.0ms	83×	body	1280	valid
38.0ms	57×	body	640	valid
14.0ms	19×	body	320	valid
12.0ms	84×	body	80	valid
4.0ms	13×	body	160	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	74	30
1	193	27
2	704	27
3	2994	27
4	5001	27

prune18.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.6b	(- (cos x) (cos y))

rewrite57.0ms

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:

15.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
18.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series242.0ms

Counts

4 → 10

Calls

4 calls:

93.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
59.0ms	(- (cos x) (cos y))

simplify121.0ms

Algorithm

egg-herbie

Counts

244 → 244

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	1079	4683
1	4343	3463
2	5001	3456

prune825.0ms

Filtered

244 candidates to 110 candidates (45.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	238	6	244
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	239	7	246

Merged error: 0.1b

Counts

246 → 7

localize58.0ms

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))
1.6b	(- (cos x) (cos y))

rewrite103.0ms

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:

16.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
33.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
11.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

series252.0ms

Counts

4 → 10

Calls

4 calls:

114.0ms	(* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0)))
87.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
50.0ms	(- (cos x) (cos y))

simplify175.0ms

Algorithm

egg-herbie

Counts

384 → 384

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	1268	9591
1	4660	7418
2	5001	7405

prune878.0ms

Filtered

384 candidates to 116 candidates (30.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	382	2	384
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	384	7	391

Merged error: 0.1b

Counts

391 → 7

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.6b	(+ (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))
1.7b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`prod-diff`
95×	`*-un-lft-identity`
89×	`add-cube-cbrt`
55×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
14×	`sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `div-inv`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sub-neg` `fma-neg` `cos-mult` `log1p-expm1-u`
3×	`flip3--` `fma-def` `flip--`
2×	`sqr-cos` `diff-log` `associate-*r/` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-cos` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r+` `sub-div`

Counts

4 → 188

Calls

4 calls:

14.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(+ (cos x) (cos y))
5.0ms	(- 3.0 (sqrt 5.0))
6.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

series195.0ms

Counts

4 → 10

Calls

4 calls:

86.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
37.0ms	(+ (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))
72.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	949	3670
1	3507	2700
2	5001	2436

prune674.0ms

Filtered

198 candidates to 88 candidates (44.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	198	7	205

Merged error: 0.1b

Counts

205 → 7

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin x))
0.6b	(cbrt (sin x))
1.0b	(- 3.0 (sqrt 5.0))
1.6b	(- (cos x) (cos y))

rewrite17.0ms

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:

2.0ms	(cbrt (sin x))
2.0ms	(cbrt (sin x))
5.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series243.0ms

Counts

4 → 10

Calls

4 calls:

93.0ms	(cbrt (sin x))
93.0ms	(cbrt (sin x))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	423	857
1	1276	616
2	5002	501

prune556.0ms

Filtered

103 candidates to 66 candidates (64.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0.1b

Counts

110 → 7

regimes210.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	35
1	36	35

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.9s	2734×	body	1280	valid
1.2s	1792×	body	640	valid
366.0ms	2408×	body	80	valid
340.0ms	709×	body	320	valid
107.0ms	357×	body	160	valid