Details

sample194.0ms

Algorithm

intervals

Results

62.0ms	256×	body	80	valid
38.0ms	40×	body	640	valid
24.0ms	19×	body	1280	valid
24.0ms	16×	body	160	valid
20.0ms	25×	body	320	valid

simplify763.0ms

Counts

1 → 1

Iterations

Iter	Nodes
5	2141
4	757
3	225
2	66
1	32
0	17

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
3.4b	(cos (/ (+ phi1 phi2) 2))
3.4b	(cos (/ (+ phi1 phi2) 2))
35.4b	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

142×	`associate-*l/`
102×	`flip3--` `flip--`
68×	`frac-times`
66×	`sqrt-div`
64×	`frac-add`
44×	`pow1`
34×	`associate-*r/`
17×	`pow-prod-down`
16×	`add-cbrt-cube` `add-exp-log`
8×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`pow-plus`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip-+`

Counts

4 → 139

Calls

4 calls:

112.0ms	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
15.0ms	(cos (/ (+ phi1 phi2) 2))
14.0ms	(cos (/ (+ phi1 phi2) 2))
104.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

series771.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))))
23.0ms	(cos (/ (+ phi1 phi2) 2))
32.0ms	(cos (/ (+ phi1 phi2) 2))
583.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify2.7s

Counts

151 → 151

Iterations

Iter	Nodes
2	6665
1	1344
0	460

prune2.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 25.8b

localize67.0ms

Local error

Found 4 expressions with local error:

3.4b	(cos (/ (+ phi1 phi2) 2))
3.4b	(cos (/ (+ phi1 phi2) 2))
35.4b	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
35.4b	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

256×	`associate-*l/`
192×	`flip3--` `flip--`
132×	`sqrt-div`
128×	`frac-times` `frac-add`
64×	`associate-*r/`
8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 176

Calls

4 calls:

14.0ms	(cos (/ (+ phi1 phi2) 2))
8.0ms	(cos (/ (+ phi1 phi2) 2))
114.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
107.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

series1.3s

Counts

4 → 12

Calls

4 calls:

25.0ms	(cos (/ (+ phi1 phi2) 2))
42.0ms	(cos (/ (+ phi1 phi2) 2))
569.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))
676.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify2.5s

Counts

188 → 188

Iterations

Iter	Nodes
2	6309
1	1243
0	421

prune5.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 25.8b

localize92.0ms

Local error

Found 4 expressions with local error:

3.4b	(cos (/ (+ phi1 phi2) 2))
3.4b	(cos (/ (+ phi1 phi2) 2))
26.3b	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
35.4b	(sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

128×	`associate-*l/`
96×	`flip3--` `flip--`
66×	`sqrt-div`
64×	`frac-times` `frac-add`
32×	`associate-*r/`
6×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `remove-posit16`

Counts

4 → 105

Calls

4 calls:

16.0ms	(cos (/ (+ phi1 phi2) 2))
15.0ms	(cos (/ (+ phi1 phi2) 2))
0.0ms	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
113.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cos (/ (+ phi1 phi2) 2))
39.0ms	(cos (/ (+ phi1 phi2) 2))
25.0ms	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
595.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
2	6756
1	1267
0	433

prune3.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 25.8b

localize100.0ms

Local error

Found 4 expressions with local error:

3.4b	(cos (/ (+ phi1 phi2) 2))
26.3b	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
26.3b	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
35.4b	(sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

128×	`associate-*l/`
96×	`flip3--` `flip--`
66×	`sqrt-div`
64×	`frac-times` `frac-add`
32×	`associate-*r/`
6×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`sqrt-prod`
2×	`remove-posit16`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 106

Calls

4 calls:

17.0ms	(cos (/ (+ phi1 phi2) 2))
0.0ms	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
0.0ms	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
142.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))

series673.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cos (/ (+ phi1 phi2) 2))
24.0ms	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
43.0ms	(posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))
572.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2))))) (* (- lambda1 lambda2) (posit16->real (real->posit16 (cos (/ (+ phi1 phi2) 2)))))) (* (- phi1 phi2) (- phi1 phi2))))

simplify2.6s

Counts

118 → 118

Iterations

Iter	Nodes
2	6288
1	1250
0	430

prune3.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 25.6b

regimes1.4s

Accuracy

61.2% (5.3b remaining)

Error of 29.2b against oracle of 23.9b and baseline of 37.7b

bsearch5.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	29
1	29
0	24

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.6s	8322×	body	80	valid
2.0s	1296×	body	640	valid
1.1s	758×	body	1280	valid
587.0ms	752×	body	320	valid
164.0ms	372×	body	160	valid