Details

sample187.0ms

Algorithm

intervals

Results

76.0ms	74×	body	1280	valid
40.0ms	69×	body	640	valid
33.0ms	246×	body	80	valid
13.0ms	30×	body	320	valid
5.0ms	19×	body	160	valid

simplify160.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	134
7	134
6	122
5	110
4	98
3	80
2	55
1	26
0	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.3b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.7b	(/ (cos th) (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
70×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l` `sqrt-prod`
32×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
12×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `-commutative`

Counts

4 → 180

Calls

4 calls:

28.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
46.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
9.0ms	(/ (cos th) (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series488.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
158.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
101.0ms	(/ (cos th) (sqrt 2))
84.0ms	(/ (cos th) (sqrt 2))

simplify4.5s

Counts

192 → 192

Iterations

Iter	Nodes
3	7069
2	1733
1	518
0	189

prune2.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos th) (/ (* a1 a1) (sqrt 2)))
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.3b	(/ (* a1 a1) (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
51×	`add-sqr-sqrt`
40×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
25×	`associate-l`
12×	`associate-/r*`
11×	`pow1` `associate-r` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-l/` `associate-r/`

Counts

4 → 155

Calls

4 calls:

23.0ms	(* (cos th) (/ (* a1 a1) (sqrt 2)))
34.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
19.0ms	(/ (* a1 a1) (sqrt 2))
18.0ms	(/ (cos th) (sqrt 2))

series539.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cos th) (/ (* a1 a1) (sqrt 2)))
160.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
123.0ms	(/ (* a1 a1) (sqrt 2))
104.0ms	(/ (cos th) (sqrt 2))

simplify5.8s

Counts

167 → 167

Iterations

Iter	Nodes
3	6710
2	1880
1	557
0	213

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos th) (/ a2 (/ (sqrt 2) a2)))
0.2b	(/ a2 (/ (sqrt 2) a2))
0.3b	(/ (* a1 a1) (sqrt 2))
0.4b	(/ (sqrt 2) a2)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

287×	`times-frac`
174×	`add-sqr-sqrt`
161×	`*-un-lft-identity` `add-cube-cbrt`
82×	`sqrt-prod`
71×	`associate-r`
31×	`associate-/r*`
25×	`add-cbrt-cube` `add-exp-log`
11×	`div-inv`
10×	`associate-/l*`
9×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-/r/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 278

Calls

4 calls:

32.0ms	(* (cos th) (/ a2 (/ (sqrt 2) a2)))
18.0ms	(/ a2 (/ (sqrt 2) a2))
9.0ms	(/ (* a1 a1) (sqrt 2))
5.0ms	(/ (sqrt 2) a2)

series474.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cos th) (/ a2 (/ (sqrt 2) a2)))
114.0ms	(/ a2 (/ (sqrt 2) a2))
93.0ms	(/ (* a1 a1) (sqrt 2))
81.0ms	(/ (sqrt 2) a2)

simplify1.1s

Counts

290 → 290

Iterations

Iter	Nodes
2	3249
1	937
0	345

prune3.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos th) (* (/ a2 (sqrt 2)) a2))
0.2b	(* (/ a2 (sqrt 2)) a2)
0.3b	(/ (* a1 a1) (sqrt 2))
0.4b	(/ a2 (sqrt 2))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
44×	`times-frac`
38×	`*-un-lft-identity` `add-cube-cbrt`
28×	`sqrt-prod`
25×	`add-cbrt-cube` `associate-l` `add-exp-log`
12×	`associate-/r*`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-l/` `-commutative`
1×	`associate-*r/`

Counts

4 → 141

Calls

4 calls:

48.0ms	(* (cos th) (* (/ a2 (sqrt 2)) a2))
23.0ms	(* (/ a2 (sqrt 2)) a2)
28.0ms	(/ (* a1 a1) (sqrt 2))
10.0ms	(/ a2 (sqrt 2))

series478.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cos th) (* (/ a2 (sqrt 2)) a2))
78.0ms	(* (/ a2 (sqrt 2)) a2)
114.0ms	(/ (* a1 a1) (sqrt 2))
108.0ms	(/ a2 (sqrt 2))

simplify2.5s

Counts

153 → 153

Iterations

Iter	Nodes
3	4537
2	1306
1	416
0	183

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes547.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	16
1	16
0	13

end0.0ms

sample8.6s

Algorithm

intervals

Results

2.7s	2473×	body	1280	valid
2.2s	2142×	body	640	valid
2.0s	8136×	body	80	valid
1.1s	1055×	body	320	valid
209.0ms	527×	body	160	valid