Details

sample130.0ms

Algorithm

intervals

Results

47.0ms	255×	body	80	valid
22.0ms	42×	body	640	valid
18.0ms	30×	body	1280	valid
6.0ms	17×	body	320	valid
3.0ms	13×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	4415
4	917
3	240
2	69
1	32
0	17

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
34.3b	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite255.0ms

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` `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 → 135

Calls

4 calls:

81.0ms	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
12.0ms	(cos (/ (+ phi1 phi2) 2.0))
8.0ms	(cos (/ (+ phi1 phi2) 2.0))
134.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series849.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
42.0ms	(cos (/ (+ phi1 phi2) 2.0))
37.0ms	(cos (/ (+ phi1 phi2) 2.0))
614.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify647.0ms

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
1	1387
0	458

prune900.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
2.0b	(cos (/ (+ phi1 phi2) 2.0))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
34.3b	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- 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/`
9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `cube-prod` `sqrt-prod`
1×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `unpow3` `pow-exp` `flip-+` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

5.0ms	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
16.0ms	(cos (/ (+ phi1 phi2) 2.0))
9.0ms	(cos (/ (+ phi1 phi2) 2.0))
120.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series848.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
43.0ms	(cos (/ (+ phi1 phi2) 2.0))
49.0ms	(cos (/ (+ phi1 phi2) 2.0))
679.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify576.0ms

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
1	1412
0	452

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.6b

localize63.0ms

Local error

Found 4 expressions with local error:

2.0b	(cos (/ (+ phi1 phi2) 2.0))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
34.3b	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (pow (cbrt (cos (/ (+ phi1 phi2) 2.0))) 6)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite185.0ms

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` `add-log-exp`
3×	`sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 100

Calls

4 calls:

19.0ms	(cos (/ (+ phi1 phi2) 2.0))
8.0ms	(cos (/ (+ phi1 phi2) 2.0))
8.0ms	(cos (/ (+ phi1 phi2) 2.0))
132.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (pow (cbrt (cos (/ (+ phi1 phi2) 2.0))) 6)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series779.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cos (/ (+ phi1 phi2) 2.0))
46.0ms	(cos (/ (+ phi1 phi2) 2.0))
30.0ms	(cos (/ (+ phi1 phi2) 2.0))
663.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (pow (cbrt (cos (/ (+ phi1 phi2) 2.0))) 6)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify634.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
1	1284
0	427

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.5b

localize56.0ms

Local error

Found 4 expressions with local error:

2.0b	(cos (/ (+ phi1 phi2) 2.0))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
2.0b	(cos (/ (+ phi1 phi2) 2.0))
34.3b	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (pow (cbrt (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) 6)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite160.0ms

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` `add-log-exp`
3×	`sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`

Counts

4 → 100

Calls

4 calls:

9.0ms	(cos (/ (+ phi1 phi2) 2.0))
8.0ms	(cos (/ (+ phi1 phi2) 2.0))
8.0ms	(cos (/ (+ phi1 phi2) 2.0))
127.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (pow (cbrt (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) 6)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series773.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cos (/ (+ phi1 phi2) 2.0))
47.0ms	(cos (/ (+ phi1 phi2) 2.0))
37.0ms	(cos (/ (+ phi1 phi2) 2.0))
659.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (* (cos (/ (+ phi1 phi2) 2.0)) (pow (cbrt (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) 6)))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify539.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
1	1299
0	430

prune820.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.5b

regimes1.9s

Accuracy

67.6% (4.9b remaining)

Error of 29.3b against oracle of 24.4b and baseline of 39.4b

bsearch3.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.1s	8252×	body	80	valid
998.0ms	715×	body	320	valid
821.0ms	1308×	body	640	valid
745.0ms	827×	body	1280	valid
147.0ms	391×	body	160	valid