Details

sample68.0ms

Algorithm

intervals

Results

16.0ms	254×	body	80	valid
13.0ms	49×	body	640	valid
11.0ms	27×	body	1280	valid
4.0ms	20×	body	320	valid
2.0ms	17×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	32	32
2	69	32
3	238	32
4	742	32
5	1972	32
6	4486	32
done	5001	32

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
2.7b	(cos (/ (+ phi1 phi2) 2.0))
2.7b	(cos (/ (+ phi1 phi2) 2.0))
36.6b	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite203.0ms

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-exp-log` `add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
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:

67.0ms	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
10.0ms	(cos (/ (+ phi1 phi2) 2.0))
10.0ms	(cos (/ (+ phi1 phi2) 2.0))
101.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series603.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))
27.0ms	(cos (/ (+ phi1 phi2) 2.0))
28.0ms	(cos (/ (+ phi1 phi2) 2.0))
442.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify478.0ms

Counts

147 → 147

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	455	7854
1	1320	7209
done	5000	6835

prune437.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 26.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
2.7b	(cos (/ (+ phi1 phi2) 2.0))
2.7b	(cos (/ (+ phi1 phi2) 2.0))
36.6b	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite159.0ms

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×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `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:

4.0ms	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
11.0ms	(cos (/ (+ phi1 phi2) 2.0))
11.0ms	(cos (/ (+ phi1 phi2) 2.0))
121.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
31.0ms	(cos (/ (+ phi1 phi2) 2.0))
27.0ms	(cos (/ (+ phi1 phi2) 2.0))
455.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

simplify469.0ms

Counts

128 → 128

Iterations

Useful iterations: done (460.0ms)

Iter	Nodes	Cost
0	449	7330
1	1286	6543
done	5001	6035

prune449.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 26.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
2.7b	(cos (/ (+ phi1 phi2) 2.0))
2.7b	(cos (/ (+ phi1 phi2) 2.0))
36.6b	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (log (exp (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/`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `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:

3.0ms	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
11.0ms	(cos (/ (+ phi1 phi2) 2.0))
10.0ms	(cos (/ (+ phi1 phi2) 2.0))
124.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

series549.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow (cos (/ (+ phi1 phi2) 2.0)) 3)
30.0ms	(cos (/ (+ phi1 phi2) 2.0))
27.0ms	(cos (/ (+ phi1 phi2) 2.0))
441.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (pow (cos (/ (+ phi1 phi2) 2.0)) 3))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

simplify463.0ms

Counts

128 → 128

Iterations

Useful iterations: done (456.0ms)

Iter	Nodes	Cost
0	450	7504
1	1288	6543
done	5000	6227

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 26.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
2.7b	(cos (/ (+ phi1 phi2) 2.0))
2.7b	(cos (/ (+ phi1 phi2) 2.0))
36.6b	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3))))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

128×	`associate-*l/`
96×	`flip3--` `flip--`
66×	`sqrt-div`
64×	`frac-times` `frac-add`
32×	`associate-*r/`
13×	`log-pow`
12×	`exp-prod`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `log-prod` `cube-prod` `sqrt-prod`
1×	`cube-mult` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `unpow3` `rem-log-exp` `flip-+` `sqr-pow`

Counts

4 → 117

Calls

4 calls:

8.0ms	(log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
11.0ms	(cos (/ (+ phi1 phi2) 2.0))
11.0ms	(cos (/ (+ phi1 phi2) 2.0))
150.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3))))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3)))
28.0ms	(cos (/ (+ phi1 phi2) 2.0))
28.0ms	(cos (/ (+ phi1 phi2) 2.0))
447.0ms	(sqrt (+ (* (* (- lambda1 lambda2) (cbrt (log (exp (pow (cos (/ (+ phi1 phi2) 2.0)) 3))))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

simplify474.0ms

Counts

129 → 129

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	469	7709
1	1305	6548
done	5000	6186

prune508.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 26.0b

regimes507.0ms

Accuracy

73.3% (3.8b remaining)

Error of 29.2b against oracle of 25.4b and baseline of 39.6b

bsearch3.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	69
1	27	69
done	27	69

end0.0ms

sample1.9s

Algorithm

intervals

Results

535.0ms	8367×	body	80	valid
367.0ms	1269×	body	640	valid
327.0ms	794×	body	1280	valid
141.0ms	676×	body	320	valid
50.0ms	370×	body	160	valid