Details

sample88.0ms

Algorithm

intervals

Results

64.0ms	260×	body	80	valid
3.0ms	4×	body	640	valid
3.0ms	3×	body	1280	valid
1.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
5	3132
4	821
3	260
2	102
1	51
0	21

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* K (/ (+ m n) 2)) M)
0.0b	(* K (/ (+ m n) 2))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-cube-cbrt`
13×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`prod-diff`
5×	`pow1` `cos-sum` `add-log-exp`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cos-diff` `cbrt-undiv` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `flip--`

Counts

3 → 73

Calls

3 calls:

17.0ms	(- (* K (/ (+ m n) 2)) M)
33.0ms	(* K (/ (+ m n) 2))
58.0ms	(cos (- (* K (/ (+ m n) 2)) M))

series227.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(- (* K (/ (+ m n) 2)) M)
56.0ms	(* K (/ (+ m n) 2))
86.0ms	(cos (- (* K (/ (+ m n) 2)) M))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
3	2948
2	929
1	352
0	162

prune724.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune52.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cos (- (* K (/ (+ m n) 2)) M)))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cos-sum`
9×	`prod-diff`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cos-diff` `sub-neg`
1×	`pow1/3`

Counts

4 → 62

Calls

4 calls:

10.0ms	(cbrt (cos (- (* K (/ (+ m n) 2)) M)))
26.0ms	(cos (- (* K (/ (+ m n) 2)) M))
48.0ms	(cos (- (* K (/ (+ m n) 2)) M))
61.0ms	(cos (- (* K (/ (+ m n) 2)) M))

series471.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (cos (- (* K (/ (+ m n) 2)) M)))
101.0ms	(cos (- (* K (/ (+ m n) 2)) M))
83.0ms	(cos (- (* K (/ (+ m n) 2)) M))
68.0ms	(cos (- (* K (/ (+ m n) 2)) M))

simplify3.4s

Counts

74 → 74

Iterations

Iter	Nodes
7	5225
6	1966
5	999
4	584
3	337
2	205
1	143
0	89

prune615.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cos (- (* K (/ (+ m n) 2)) M)))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))
36.0b	(cos (- (* K (/ (+ m n) 2)) M))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cos-sum`
9×	`prod-diff`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cos-diff` `sub-neg`
1×	`pow1/3`

Counts

4 → 62

Calls

4 calls:

11.0ms	(cbrt (cos (- (* K (/ (+ m n) 2)) M)))
49.0ms	(cos (- (* K (/ (+ m n) 2)) M))
55.0ms	(cos (- (* K (/ (+ m n) 2)) M))
34.0ms	(cos (- (* K (/ (+ m n) 2)) M))

series459.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (cos (- (* K (/ (+ m n) 2)) M)))
83.0ms	(cos (- (* K (/ (+ m n) 2)) M))
86.0ms	(cos (- (* K (/ (+ m n) 2)) M))
76.0ms	(cos (- (* K (/ (+ m n) 2)) M))

simplify3.6s

Counts

74 → 74

Iterations

Iter	Nodes
7	5225
6	1966
5	999
4	584
3	337
2	205
1	143
0	89

prune527.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.0b

regimes427.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	17
1	17
0	15

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.1s	8088×	body	80	valid
534.0ms	122×	body	1280	valid
122.0ms	139×	body	640	valid
74.0ms	117×	body	320	valid
22.0ms	52×	body	160	valid
2.0ms	1×	body	2560	valid