Details

sample177.0ms

Algorithm

intervals

Results

99.0ms	106×	body	1280	valid
41.0ms	78×	body	640	valid
11.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid
3.0ms	26×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	12
1	21	12
2	21	12

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
0.5b	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
4.0b	(sin (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`cos-diff`
2×	`sub-neg` `cos-sum` `associate-+r+` `sin-sum`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `sin-diff` `flip-+`

Counts

4 → 40

Calls

4 calls:

1.0ms	(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
8.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

series40.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))
22.0ms	(+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))
5.0ms	(sin (- lambda1 lambda2))
5.0ms	(cos (- lambda1 lambda2))

simplify117.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	205	421
1	508	374
2	1327	374
3	3684	374
4	5001	374

prune132.0ms

Filtered

52 candidates to 42 candidates (19.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	42	10	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	10	53

Merged error: 0.2b

Counts

53 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

4.0b	(sin (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cos-sum`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cos-diff`
2×	`sin-sum`
1×	`sin-diff`

Counts

4 → 40

Calls

4 calls:

4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

simplify52.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 4 (48.0ms)

Iter	Nodes	Cost
0	83	235
1	149	215
2	390	215
3	1140	215
4	5001	212

prune147.0ms

Filtered

52 candidates to 40 candidates (23.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	51	11	62

Merged error: 0.2b

Counts

62 → 11

localize35.0ms

Local error

Found 4 expressions with local error:

4.0b	(sin (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cos-sum`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cos-diff`
2×	`sin-sum`
1×	`sin-diff`

Counts

4 → 40

Calls

4 calls:

4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

simplify52.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 4 (48.0ms)

Iter	Nodes	Cost
0	83	235
1	149	215
2	390	215
3	1140	215
4	5001	212

prune142.0ms

Filtered

52 candidates to 40 candidates (23.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	52	11	63

Merged error: 0.2b

Counts

63 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b	(sin (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))
4.0b	(cos (- lambda1 lambda2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cos-sum`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cos-diff`
2×	`sin-sum`
1×	`sin-diff`

Counts

4 → 40

Calls

4 calls:

4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))
4.0ms	(cos (- lambda1 lambda2))

simplify54.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 4 (50.0ms)

Iter	Nodes	Cost
0	83	235
1	149	215
2	390	215
3	1140	215
4	5001	212

prune69.0ms

Filtered

52 candidates to 40 candidates (23.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	51	12	63

Merged error: 0.2b

Counts

63 → 12

regimes694.0ms

Accuracy

0% (0.2b remaining)

Error of 0.9b against oracle of 0.7b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	32
1	32	32

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.3s	3523×	body	1280	valid
1.3s	2430×	body	640	valid
338.0ms	924×	body	320	valid
93.0ms	405×	body	160	valid
86.0ms	718×	body	80	valid

Details

sample177.0ms

simplify4.0ms

prune5.0ms

localize20.0ms

rewrite17.0ms

series40.0ms

simplify117.0ms

prune132.0ms

localize32.0ms

rewrite16.0ms

series15.0ms

simplify52.0ms

prune147.0ms

localize35.0ms

rewrite16.0ms

series15.0ms

simplify52.0ms

prune142.0ms

localize24.0ms

rewrite16.0ms

series15.0ms

simplify54.0ms

prune69.0ms

regimes694.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.6s

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