Details

sample549.0ms

Algorithm

intervals

Results

371.0ms	142×	body	1280	valid
89.0ms	62×	body	640	valid
23.0ms	25×	body	320	valid
6.0ms	23×	body	80	valid
5.0ms	5×	body	160	valid

simplify11.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	4198
6	1145
5	472
4	297
3	172
2	95
1	56
0	26

prune37.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.7b

localize507.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
34.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
28.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series310.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
77.0ms	(sin (/ (- lambda1 lambda2) 2.0))
87.0ms	(sin (/ (- lambda1 lambda2) 2.0))
88.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.8s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1814
5	618
4	304
3	168
2	92
1	56
0	33

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 22.3b

localize481.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series294.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sin (/ (- lambda1 lambda2) 2.0))
88.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify7.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1814
5	618
4	304
3	168
2	92
1	56
0	33

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.3b

localize535.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
7.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 39

Calls

4 calls:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
158.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify6.3s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
6	2304
5	945
4	489
3	264
2	134
1	81
0	52

prune1.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 22.3b

localize657.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
7.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))))

rewrite738.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*l/` `sin-mult`

Counts

4 → 38

Calls

4 calls:

33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
616.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
85.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))))

simplify8.4s

Counts

50 → 50

Iterations

Iter	Nodes
done	5001
6	4204
5	2216
4	1038
3	411
2	168
1	92
0	55

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 22.2b

regimes5.6s

Accuracy

0% (0.6b remaining)

Error of 24.7b against oracle of 24.1b and baseline of 24.7b

bsearch0.0ms

simplify44.0ms

Iterations

Iter	Nodes
done	46
1	46
0	35

end0.0ms

sample21.4s

Algorithm

intervals

Results

15.3s	4743×	body	1280	valid
3.7s	1919×	body	640	valid
891.0ms	553×	body	320	valid
628.0ms	572×	body	80	valid
235.0ms	215×	body	160	valid