Details

analyze804.0ms

Algorithm: search

sample214.0ms

Algorithm

intervals

Results

117.0ms	89×	body	1280	valid
57.0ms	65×	body	640	valid
14.0ms	76×	body	80	valid
12.0ms	19×	body	320	valid
3.0ms	7×	body	160	valid

simplify53.0ms

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

prune9.0ms

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: 0.5b

Counts

2 → 1

localize34.0ms

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)))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.2b	(- (cos x) (cos y))

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

series51.0ms

Counts

4 → 10

Calls

4 calls:

25.0ms	(* (* (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))
13.0ms	(- (cos x) (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

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

prune297.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	8	105

Merged error: 0.3b

Counts

105 → 8

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
1.2b	(- (cos x) (cos y))
2.7b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

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

series49.0ms

Counts

4 → 10

Calls

4 calls:

13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))
26.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	422	818
1	1443	744
2	5001	743

prune295.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	87	10	97

Merged error: 0.2b

Counts

97 → 10

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (cos y) (cos x))
1.0b	(- 3.0 (sqrt 5.0))
1.1b	(- (pow (cos x) 3) (pow (cos y) 3))
2.7b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-log-exp`
8×	`sqr-pow`
7×	`log-prod`
6×	`distribute-lft-out--`
5×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `sub-neg` `exp-sum` `add-cbrt-cube`
3×	`log-pow`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `flip--`
1×	`difference-cubes` `+-commutative` `exp-prod` `exp-to-pow` `flip3-+` `sum-cos` `rem-log-exp` `sum-log` `sqrt-prod` `flip-+` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

4.0ms	(+ (cos y) (cos x))
4.0ms	(- 3.0 (sqrt 5.0))
12.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
4.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series54.0ms

Counts

4 → 10

Calls

4 calls:

8.0ms	(+ (cos y) (cos x))
0.0ms	(- 3.0 (sqrt 5.0))
22.0ms	(- (pow (cos x) 3) (pow (cos y) 3))
25.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	463	932
1	1352	864
2	5002	863

prune326.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.2b

Counts

100 → 9

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.6b	(+ (cos y) (cos x))
1.0b	(- 3.0 (sqrt 5.0))
1.1b	(- (pow (cos x) 3) (pow (cos y) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

12.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(+ (cos y) (cos x))
4.0ms	(- 3.0 (sqrt 5.0))
11.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

series43.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
8.0ms	(+ (cos y) (cos x))
0.0ms	(- 3.0 (sqrt 5.0))
22.0ms	(- (pow (cos x) 3) (pow (cos y) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	507	847
1	1669	803
2	5001	802

prune277.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	104	8	112

Merged error: 0.1b

Counts

112 → 8

regimes168.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	46
1	57	46

end0.0ms

analyze766.0ms

Algorithm: search

sample6.8s

Algorithm

intervals

Results

3.9s	2763×	body	1280	valid
1.6s	1837×	body	640	valid
459.0ms	734×	body	320	valid
439.0ms	2327×	body	80	valid
138.0ms	339×	body	160	valid

Details

analyze804.0ms

sample214.0ms

simplify53.0ms

prune9.0ms

localize34.0ms

rewrite41.0ms

series51.0ms

simplify69.0ms

prune297.0ms

localize38.0ms

rewrite27.0ms

series49.0ms

simplify44.0ms

prune295.0ms

localize53.0ms

rewrite27.0ms

series54.0ms

simplify45.0ms

prune326.0ms

localize47.0ms

rewrite35.0ms

series43.0ms

simplify50.0ms

prune277.0ms

regimes168.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze766.0ms

sample6.8s

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