Details

sample207.0ms

Algorithm

intervals

Results

121.0ms	99×	body	1280	valid
39.0ms	51×	body	640	valid
11.0ms	70×	body	80	valid
10.0ms	19×	body	320	valid
6.0ms	17×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune16.0ms

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

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (- (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))
1.9b	(- (cos x) (cos y))

rewrite53.0ms

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

series238.0ms

Counts

4 → 10

Calls

4 calls:

94.0ms	(* (- (sin y) (/ (sin x) 16.0)) (- (cos x) (cos y)))
88.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
56.0ms	(- (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

prune774.0ms

Filtered

244 candidates to 110 candidates (45.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	237	7	244
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	238	8	246

Merged error: 0.2b

Counts

246 → 8

localize37.0ms

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))
2.1b	(- (* (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)))
4.0ms	(+ (cos x) (cos y))
7.0ms	(- 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))
71.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify117.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	949	3669
1	3508	2700
2	5001	2436

prune658.0ms

Filtered

198 candidates to 88 candidates (44.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	197	9	206

Merged error: 0.2b

Counts

206 → 9

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (sin y) (/ (sin x) 16.0)))
0.6b	(cbrt (- (sin y) (/ (sin x) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

7.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
7.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
5.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series337.0ms

Counts

4 → 10

Calls

4 calls:

141.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
139.0ms	(cbrt (- (sin y) (/ (sin x) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
58.0ms	(- (cos x) (cos y))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	451	1121
1	1206	868
2	5002	841

prune583.0ms

Filtered

113 candidates to 74 candidates (65.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	113	9	122

Merged error: 0.2b

Counts

122 → 9

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.9b	(- (cos x) (cos y))
4.8b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

183×	`prod-diff`
179×	`add-sqr-sqrt`
170×	`*-un-lft-identity`
164×	`add-cube-cbrt`
109×	`times-frac`
85×	`log-prod`
82×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
14×	`sqrt-prod`
12×	`div-inv`
9×	`add-log-exp`
7×	`pow1`
6×	`add-exp-log` `sub-neg` `fma-neg` `associate-r` `associate-l` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `log-pow` `flip--` `distribute-lft-out--`
2×	`diff-log` `associate-*r/` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 276

Calls

4 calls:

15.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))
13.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series244.0ms

Counts

4 → 10

Calls

4 calls:

92.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))
94.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify126.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	1251	6493
1	3974	4691
2	5001	4678

prune800.0ms

Filtered

286 candidates to 107 candidates (37.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	287	8	295

Merged error: 0.2b

Counts

295 → 8

regimes226.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	33
1	36	33

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.6s	2771×	body	1280	valid
1.5s	1817×	body	640	valid
432.0ms	786×	body	320	valid
382.0ms	2272×	body	80	valid
134.0ms	354×	body	160	valid