Details

sample706.0ms

Algorithm

intervals

Results

474.0ms	144×	body	1280	valid
148.0ms	55×	body	640	valid
28.0ms	21×	body	320	valid
11.0ms	28×	body	80	valid
6.0ms	8×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	985
5	580
4	386
3	195
2	107
1	58
0	26

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.8b

localize113.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series186.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	2000
5	826
4	394
3	188
2	101
1	59
0	35

prune875.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 20.3b

localize135.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(log (exp (sin (/ (- lambda1 lambda2) 2))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `div-sub` `add-exp-log` `log-pow` `sin-diff` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 52

Calls

4 calls:

20.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2))
55.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

simplify1.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	2001
5	1140
4	533
3	266
2	157
1	102
0	64

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 20.3b

localize141.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
4.1b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))
4.1b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `div-sub` `sin-diff` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/2` `exp-diff` `sqrt-div` `rem-log-exp`

Counts

4 → 70

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
20.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))
37.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))
89.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))
95.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
5	1391
4	769
3	376
2	219
1	135
0	86

prune1.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 20.2b

localize218.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
4.0b	(log (sqrt (exp (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2)))))))
4.1b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

15×	`log-prod`
12×	`log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-prod`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `exp-sum` `sin-diff`
2×	`log-div` `pow1/2` `exp-diff` `sqrt-div` `rem-log-exp`
1×	`sub-neg` `prod-diff`

Counts

4 → 73

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
20.0ms	(log (sqrt (exp (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2)))))))
28.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))
250.0ms	(log (sqrt (exp (- (* (sin (/ lambda1 2)) (cos (/ lambda2 2))) (* (cos (/ lambda1 2)) (sin (/ lambda2 2)))))))
96.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

simplify999.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2002
4	1303
3	593
2	350
1	217
0	145

prune1.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 20.2b

regimes6.0s

Accuracy

0% (0.5b remaining)

Error of 23.8b against oracle of 23.3b and baseline of 23.8b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	55
1	55
0	45

end0.0ms

sample27.0s

Algorithm

intervals

Results

19.5s	4705×	body	1280	valid
5.5s	1938×	body	640	valid
1.0s	563×	body	320	valid
257.0ms	211×	body	160	valid
240.0ms	585×	body	80	valid
2.0ms	2×	body	160	nan