Details

sample58.0ms

Algorithm

intervals

Results

25.0ms	263×	body	80	valid
3.0ms	6×	body	1280	valid
2.0ms	6×	body	320	valid
1.0ms	2×	body	640	valid
1.0ms	3×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	50	16
1	93	16
2	200	16
3	517	15
4	1893	15
5	5001	15

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.7b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* K (+ m n))
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(- (/ (* K (+ m n)) 2.0) M)
35.1b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(* K (+ m n))
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
7.0ms	(- (/ (* K (+ m n)) 2.0) M)
8.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series80.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* K (+ m n))
39.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
12.0ms	(- (/ (* K (+ m n)) 2.0) M)
23.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify40.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	392	495
1	1304	457
2	5001	450

prune164.0ms

Filtered

79 candidates to 56 candidates (29.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Merged error: 1.0b

Counts

80 → 5

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ m n) 2.0) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`unpow-prod-down`
4×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `pow-unpow`
2×	`times-frac` `add-cbrt-cube` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `pow-exp` `flip--` `sqr-pow`

Counts

2 → 35

Calls

2 calls:

9.0ms	(- (/ (+ m n) 2.0) M)
10.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

series45.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ (+ m n) 2.0) M)
39.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	230	282
1	676	270
2	2402	264
3	5001	261

prune87.0ms

Filtered

41 candidates to 30 candidates (26.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 1.0b

Counts

46 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt K)
0.6b	(cbrt K)
0.6b	(cbrt K)
34.9b	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt K)
1.0ms	(cbrt K)
1.0ms	(cbrt K)
13.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

series95.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt K)
21.0ms	(cbrt K)
22.0ms	(cbrt K)
29.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (cbrt K) (+ m n))) 2.0) M))

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (40.0ms)

Iter	Nodes	Cost
0	130	345
1	254	312
2	456	282
3	1079	279
4	5001	267

prune117.0ms

Filtered

55 candidates to 43 candidates (21.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	55	5	60

Merged error: 1.0b

Counts

60 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt K)
0.6b	(cbrt K)
0.6b	(cbrt K)
35.1b	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (* (cbrt (* (cbrt K) (cbrt K))) (cbrt (cbrt K))) (+ m n))) 2.0) M))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt K)
1.0ms	(cbrt K)
1.0ms	(cbrt K)
16.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (* (cbrt (* (cbrt K) (cbrt K))) (cbrt (cbrt K))) (+ m n))) 2.0) M))

series93.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt K)
21.0ms	(cbrt K)
21.0ms	(cbrt K)
29.0ms	(cos (- (/ (* (* (cbrt K) (cbrt K)) (* (* (cbrt (* (cbrt K) (cbrt K))) (cbrt (cbrt K))) (+ m n))) 2.0) M))

simplify62.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (56.0ms)

Iter	Nodes	Cost
0	135	441
1	304	396
2	761	366
3	2072	363
4	5001	354

prune105.0ms

Filtered

55 candidates to 43 candidates (21.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	54	6	60

Merged error: 1.0b

Counts

60 → 6

regimes417.0ms

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.1b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

785.0ms	8120×	body	80	valid
71.0ms	153×	body	640	valid
69.0ms	119×	body	1280	valid
37.0ms	126×	body	320	valid
12.0ms	55×	body	160	valid
3.0ms	3×	body	2560	valid

Details

sample58.0ms

simplify50.0ms

prune12.0ms

localize22.0ms

rewrite33.0ms

series80.0ms

simplify40.0ms

prune164.0ms

localize16.0ms

rewrite20.0ms

series45.0ms

simplify65.0ms

prune87.0ms

localize26.0ms

rewrite18.0ms

series95.0ms

simplify44.0ms

prune117.0ms

localize30.0ms

rewrite20.0ms

series93.0ms

simplify62.0ms

prune105.0ms

regimes417.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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