Details

sample210.0ms

Algorithm

intervals

Results

105.0ms	91×	body	1280	valid
60.0ms	72×	body	640	valid
12.0ms	69×	body	80	valid
11.0ms	20×	body	320	valid
1.0ms	4×	body	160	valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.5b

Counts

2 → 1

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)))
0.8b	(- (cos x) (cos y))
1.0b	(- 3.0 (sqrt 5.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `difference-of-squares`
6×	`sub-neg`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`times-frac` `diff-log` `associate-l/` `-commutative` `unswap-sqr`
1×	`diff-cos`

Counts

4 → 94

Calls

4 calls:

18.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))
4.0ms	(- 3.0 (sqrt 5.0))

series273.0ms

Counts

4 → 10

Calls

4 calls:

132.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
86.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
56.0ms	(- (cos x) (cos y))
0.0ms	(- 3.0 (sqrt 5.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune531.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	94	10	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Merged error: 0.2b

Counts

105 → 10

localize36.0ms

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))) (- (cos x) (cos y)))
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)))
0.8b	(- (cos x) (cos y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
20×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r`
17×	`*-un-lft-identity`
16×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp` `difference-of-squares`
4×	`sqrt-prod` `distribute-lft-out--`
3×	`*-commutative`
2×	`times-frac` `diff-cos` `unswap-sqr`
1×	`diff-log`

Counts

4 → 133

Calls

4 calls:

25.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
172.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
92.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
51.0ms	(- (cos x) (cos y))

simplify118.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	848	2481
1	4931	2282
2	5002	2282

prune829.0ms

Filtered

145 candidates to 101 candidates (69.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	145	10	155

Merged error: 0.2b

Counts

155 → 10

localize40.0ms

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)))
0.8b	(- (cos x) (cos y))
3.2b	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`pow1` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt`
8×	`flip3--` `flip--`
7×	`sub-neg` `log-prod` `associate-l` `add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`difference-of-squares`
4×	`frac-times` `exp-sum` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`log-pow` `distribute-lft-out--`
2×	`times-frac` `associate-l/` `-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `diff-log` `rem-log-exp` `diff-cos`

Counts

4 → 97

Calls

4 calls:

20.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (* (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)))
56.0ms	(- (cos x) (cos y))
215.0ms	(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	587	1452
1	2700	1311
2	5003	1311

prune658.0ms

Filtered

109 candidates to 74 candidates (67.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	109	10	119

Merged error: 0.2b

Counts

119 → 10

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.8b	(- (cos x) (cos y))
2.2b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))
3.2b	(log (exp (* (log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))) (- (cos x) (cos y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`log-prod`
13×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`pow1` `exp-sum`
7×	`sub-neg` `add-log-exp`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l` `log-pow` `add-cbrt-cube`
4×	`sqrt-prod`
3×	`difference-of-squares`
2×	`exp-prod` `flip3--` `exp-to-pow` `associate-*r/` `rem-log-exp` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`times-frac` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 82

Calls

4 calls:

15.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))
4.0ms	(log (exp (* (log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))) (- (cos x) (cos y)))))

series500.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
51.0ms	(- (cos x) (cos y))
140.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))
219.0ms	(log (exp (* (log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))) (- (cos x) (cos y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	421	1230
1	1532	1091
2	5001	1089

prune550.0ms

Filtered

94 candidates to 66 candidates (70.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Merged error: 0.2b

Counts

104 → 9

regimes364.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	38
1	51	38

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.3s	2704×	body	1280	valid
1.5s	1885×	body	640	valid
434.0ms	749×	body	320	valid
415.0ms	2299×	body	80	valid
133.0ms	363×	body	160	valid

Details

sample210.0ms

simplify57.0ms

prune5.0ms

localize33.0ms

rewrite41.0ms

series273.0ms

simplify66.0ms

prune531.0ms

localize36.0ms

rewrite64.0ms

series528.0ms

simplify118.0ms

prune829.0ms

localize40.0ms

rewrite43.0ms

series497.0ms

simplify75.0ms

prune658.0ms

localize45.0ms

rewrite29.0ms

series500.0ms

simplify54.0ms

prune550.0ms

regimes364.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.1s

Profiling