Details

sample206.0ms

Algorithm

intervals

Results

106.0ms	85×	body	1280	valid
59.0ms	72×	body	640	valid
14.0ms	74×	body	80	valid
11.0ms	19×	body	320	valid
2.0ms	6×	body	160	valid

simplify49.0ms

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

prune5.0ms

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

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

rewrite37.0ms

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:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series49.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(* (* (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)))
0.0ms	(- 3.0 (sqrt 5.0))
10.0ms	(- (cos x) (cos y))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

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

prune294.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Merged error: 0.3b

Counts

105 → 9

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
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)))
1.6b	(- (cos x) (cos y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`associate-l`
21×	`times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1`
11×	`difference-of-squares`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `unswap-sqr`
3×	`associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 120

Calls

4 calls:

12.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
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)))
4.0ms	(- (cos x) (cos y))

series51.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
23.0ms	(* (* (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)))
9.0ms	(- (cos x) (cos y))

simplify78.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	751	1321
1	3282	1206
2	5001	1206

prune411.0ms

Filtered

89 candidates to 132 candidates (-48.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	131	10	141

Merged error: 0.2b

Counts

141 → 10

localize39.0ms

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)))
1.0b	(/ 1 (sqrt 2.0))
1.6b	(- (cos x) (cos y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
23×	`add-cube-cbrt`
20×	`times-frac`
16×	`sqrt-prod`
15×	`add-exp-log`
13×	`pow1` `add-cbrt-cube`
12×	`associate-r`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`associate-l`
6×	`associate-/r*` `add-log-exp`
5×	`sub-neg` `difference-of-squares`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow-flip` `associate-/l*` `distribute-lft-out--`
2×	`div-exp` `associate-l/` `-commutative` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `1-exp` `clear-num` `div-inv` `diff-cos` `inv-pow`

Counts

4 → 124

Calls

4 calls:

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)))
4.0ms	(/ 1 (sqrt 2.0))
4.0ms	(- (cos x) (cos y))

series45.0ms

Counts

4 → 10

Calls

4 calls:

23.0ms	(* (* (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)))
0.0ms	(/ 1 (sqrt 2.0))
9.0ms	(- (cos x) (cos y))

simplify74.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	626	1210
1	2874	1096
2	5001	1071

prune413.0ms

Filtered

77 candidates to 134 candidates (-74.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	133	11	144

Merged error: 0.2b

Counts

144 → 11

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (sin x))
0.4b	(* (sqrt 2.0) (neg (/ (sin y) 16.0)))
1.0b	(/ 1 (sqrt 2.0))
1.6b	(- (cos x) (cos y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
36×	`times-frac`
33×	`associate-r`
20×	`sqrt-prod`
13×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`add-exp-log` `associate-l`
10×	`pow1` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
4×	`unswap-sqr`
3×	`pow-flip` `div-inv` `associate-/l*`
2×	`div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`cbrt-undiv` `neg-mul-1` `sub-neg` `rec-exp` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `1-exp` `associate-*r/` `clear-num` `distribute-rgt-neg-out` `flip--` `diff-cos` `distribute-neg-frac` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

5.0ms	(* (sqrt 2.0) (sin x))
11.0ms	(* (sqrt 2.0) (neg (/ (sin y) 16.0)))
4.0ms	(/ 1 (sqrt 2.0))
4.0ms	(- (cos x) (cos y))

series20.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (sqrt 2.0) (sin x))
6.0ms	(* (sqrt 2.0) (neg (/ (sin y) 16.0)))
0.0ms	(/ 1 (sqrt 2.0))
9.0ms	(- (cos x) (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	529	795
1	2180	739
2	5001	714

prune401.0ms

Filtered

89 candidates to 143 candidates (-60.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	143	11	154

Merged error: 0.2b

Counts

154 → 11

regimes203.0ms

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	65	52
1	69	52
2	70	52
3	70	52

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.4s	2735×	body	1280	valid
1.5s	1806×	body	640	valid
450.0ms	744×	body	320	valid
412.0ms	2364×	body	80	valid
143.0ms	351×	body	160	valid

Details

sample206.0ms

simplify49.0ms

prune5.0ms

localize36.0ms

rewrite37.0ms

series49.0ms

simplify62.0ms

prune294.0ms

localize37.0ms

rewrite49.0ms

series51.0ms

simplify78.0ms

prune411.0ms

localize39.0ms

rewrite42.0ms

series45.0ms

simplify74.0ms

prune413.0ms

localize47.0ms

rewrite28.0ms

series20.0ms

simplify55.0ms

prune401.0ms

regimes203.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.2s

Profiling