Details

sample65.0ms

Algorithm

intervals

Results

27.0ms	254×	body	80	valid
3.0ms	5×	body	1280	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (127.0ms)

Iter	Nodes	Cost
0	21	29
1	50	29
2	93	29
3	197	29
4	465	28
5	1141	28
6	4709	28
done	5000	28

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* K (+ m n)) 2.0) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.0b	(* K (+ m n))
34.4b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite205.0ms

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:

36.0ms	(- (/ (* K (+ m n)) 2.0) M)
74.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
28.0ms	(* K (+ m n))
62.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series640.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (/ (* K (+ m n)) 2.0) M)
391.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
45.0ms	(* K (+ m n))
116.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify1.8s

Counts

79 → 79

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	167	995
1	379	940
2	923	869
3	2855	862
done	5000	854

prune533.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

97.0ms

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

series357.0ms

Counts

1 → 3

Calls

1 calls:

357.0ms

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

simplify2.1s

Counts

23 → 23

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	74	337
1	157	318
2	312	305
3	731	304
4	1771	296
done	5001	295

prune115.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize30.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
16.2b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
16.2b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
42.9b	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (- (/ (* K (+ m n)) 2.0) M))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 52

Calls

4 calls:

26.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
19.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
13.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
109.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (- (/ (* K (+ m n)) 2.0) M))))

series1.1s

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
342.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
332.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
88.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (- (/ (* K (+ m n)) 2.0) M))))

simplify1.4s

Counts

64 → 64

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	97	1446
1	215	1414
2	508	1119
3	1407	1020
done	5000	978

prune567.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize43.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
16.2b	(cbrt (- (/ (* K (+ m n)) 2.0) M))
17.4b	(cbrt (* (* m K) 0.5))
41.9b	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (* (* m K) 0.5))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 46

Calls

4 calls:

26.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
22.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
13.0ms	(cbrt (* (* m K) 0.5))
110.0ms	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (* (* m K) 0.5))))

series3.8s

Counts

4 → 12

Calls

4 calls:

718.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
333.0ms	(cbrt (- (/ (* K (+ m n)) 2.0) M))
151.0ms	(cbrt (* (* m K) 0.5))
2.5s	(cos (* (* (cbrt (- (/ (* K (+ m n)) 2.0) M)) (cbrt (- (/ (* K (+ m n)) 2.0) M))) (cbrt (* (* m K) 0.5))))

simplify1.3s

Counts

58 → 58

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	1198
1	312	1174
2	728	1056
3	2002	994
done	5000	946

prune560.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

regimes206.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	20
1	21	18
done	21	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

916.0ms	8088×	body	80	valid
79.0ms	117×	body	1280	valid
74.0ms	139×	body	640	valid
38.0ms	108×	body	320	valid
13.0ms	56×	body	160	valid
3.0ms	3×	body	2560	valid