Details

sample178.0ms

Algorithm

intervals

Results

93.0ms	87×	body	1280	valid
36.0ms	53×	body	640	valid
11.0ms	81×	body	80	valid
10.0ms	22×	body	320	valid
4.0ms	13×	body	160	valid

simplify52.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

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))
1.3b	(- (cos x) (cos y))

rewrite43.0ms

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:

21.0ms	(* (* (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	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series300.0ms

Counts

4 → 10

Calls

4 calls:

137.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
95.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
67.0ms	(- (cos x) (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

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

prune515.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize62.0ms

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)))
1.3b	(- (cos x) (cos y))

rewrite74.0ms

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:

23.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
18.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
19.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(- (cos x) (cos y))

series499.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
135.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
87.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
55.0ms	(- (cos x) (cos y))

simplify121.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (22.0ms)

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

prune949.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize51.0ms

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)))
0.5b	(+ (cos x) (cos y))
1.5b	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

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))
5.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
88.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
38.0ms	(+ (cos x) (cos y))
73.0ms	(- (* (cos x) (cos x)) (* (cos y) (cos y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	659	1167
1	2939	1044
2	5003	1040

prune710.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

1.0b	(- 3.0 (sqrt 5.0))
1.3b	(- (cos x) (cos y))
1.3b	(- (cos x) (cos y))
1.3b	(- (cos x) (cos y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-log-exp`
5×	`difference-of-squares`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`diff-cos`
1×	`sqrt-prod`

Counts

4 → 60

Calls

4 calls:

4.0ms	(- 3.0 (sqrt 5.0))
5.0ms	(- (cos x) (cos y))
5.0ms	(- (cos x) (cos y))
5.0ms	(- (cos x) (cos y))

series165.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(- 3.0 (sqrt 5.0))
50.0ms	(- (cos x) (cos y))
58.0ms	(- (cos x) (cos y))
57.0ms	(- (cos x) (cos y))

simplify140.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	155	400
1	362	374
2	950	370
3	3993	370
4	5001	370

prune431.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	42
1	52	42

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.9s	2722×	body	1280	valid
1.3s	1861×	body	640	valid
345.0ms	2355×	body	80	valid
337.0ms	707×	body	320	valid
109.0ms	355×	body	160	valid