Details

sample210.0ms

Algorithm

intervals

Results

111.0ms	94×	body	1280	valid
43.0ms	55×	body	640	valid
12.0ms	24×	body	320	valid
11.0ms	72×	body	80	valid
4.0ms	11×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune8.0ms

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: 0.4b

Counts

2 → 1

localize42.0ms

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)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.6b	(- (cos x) (cos y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

25.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series386.0ms

Counts

4 → 10

Calls

4 calls:

232.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
93.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
61.0ms	(- (cos x) (cos y))

simplify137.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	844	1973
1	4413	1829
2	5001	1829

prune865.0ms

Filtered

125 candidates to 88 candidates (70.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	8	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 0.3b

Counts

126 → 8

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)))
0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.6b	(- (cos x) (cos y))

rewrite70.0ms

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:

19.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
29.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))

series545.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
238.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
98.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
62.0ms	(- (cos x) (cos y))

simplify136.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (25.0ms)

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

prune1.1s

Filtered

145 candidates to 101 candidates (69.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	146	7	153

Merged error: 0.3b

Counts

153 → 7

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.6b	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
1.0b	(- 3.0 (sqrt 5.0))
2.6b	(- (cos x) (cos y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `flip3--` `associate-*r/` `add-cbrt-cube` `flip--`
3×	`difference-of-squares`
2×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`sqrt-prod` `diff-cos`

Counts

4 → 52

Calls

4 calls:

9.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
9.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))

series813.0ms

Counts

4 → 10

Calls

4 calls:

472.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
277.0ms	(cbrt (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))
0.0ms	(- 3.0 (sqrt 5.0))
63.0ms	(- (cos x) (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	297	543
1	710	501
2	2044	489
3	5001	473

prune503.0ms

Filtered

62 candidates to 48 candidates (77.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 0.3b

Counts

69 → 7

localize45.0ms

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)))
2.6b	(- (cos x) (cos y))
3.8b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite50.0ms

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)))
13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(- (cos x) (cos y))
8.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
98.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
63.0ms	(- (cos x) (cos y))
146.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	558	1325
1	2444	1204
2	5003	1204

prune769.0ms

Filtered

109 candidates to 74 candidates (67.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	106	10	116

Merged error: 0.2b

Counts

116 → 10

regimes265.0ms

Accuracy

0% (0.3b 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	45	47
1	45	47

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.3s	2710×	body	1280	valid
1.4s	1809×	body	640	valid
433.0ms	799×	body	320	valid
400.0ms	2342×	body	80	valid
121.0ms	340×	body	160	valid

Details

sample210.0ms

simplify58.0ms

prune8.0ms

localize42.0ms

rewrite51.0ms

series386.0ms

simplify137.0ms

prune865.0ms

localize40.0ms

rewrite70.0ms

series545.0ms

simplify136.0ms

prune1.1s

localize49.0ms

rewrite29.0ms

series813.0ms

simplify69.0ms

prune503.0ms

localize45.0ms

rewrite50.0ms

series458.0ms

simplify80.0ms

prune769.0ms

regimes265.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.1s

Profiling