Details

sample166.0ms

Algorithm

intervals

Results

57.0ms	56×	body	640	valid
49.0ms	75×	body	1280	valid
29.0ms	257×	body	80	valid
11.0ms	31×	body	320	valid
4.0ms	17×	body	160	valid

simplify178.0ms

Counts: 1 → 1

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))
0.2b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.2b	(* (/ (cos th) (sqrt 2)) (* a1 a1))

rewrite96.0ms

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×	`insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `associate-l/` `-commutative`

Counts

4 → 172

Calls

4 calls:

Slowest

48.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
23.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
13.0ms	(/ (cos th) (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series471.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

158.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
130.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
93.0ms	(/ (cos th) (sqrt 2))
90.0ms	(/ (cos th) (sqrt 2))

simplify654.0ms

Counts: 184 → 184

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.4b	(/ (sqrt 2) a2)
0.2b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.2b	(/ a2 (/ (sqrt 2) a2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac`
127×	`add-sqr-sqrt`
122×	`*-un-lft-identity` `add-cube-cbrt`
70×	`sqrt-prod`
31×	`associate-/r*`
25×	`add-cbrt-cube` `add-exp-log`
22×	`associate-l`
12×	`associate-/l*`
9×	`pow1`
8×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 233

Calls

4 calls:

Slowest

21.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
8.0ms	(/ (cos th) (sqrt 2))
6.0ms	(/ a2 (/ (sqrt 2) a2))
5.0ms	(/ (sqrt 2) a2)

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
94.0ms	(/ (cos th) (sqrt 2))
87.0ms	(/ (sqrt 2) a2)
67.0ms	(/ a2 (/ (sqrt 2) a2))

simplify884.0ms

Counts: 245 → 245

prune3.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-/r/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 270

Calls

4 calls:

Slowest

16.0ms	(* (cos th) (/ a2 (/ (sqrt 2) a2)))
10.0ms	(/ a2 (/ (sqrt 2) a2))
9.0ms	(/ (* a1 a1) (sqrt 2))
5.0ms	(/ (sqrt 2) a2)

series384.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(* (cos th) (/ a2 (/ (sqrt 2) a2)))
88.0ms	(/ a2 (/ (sqrt 2) a2))
73.0ms	(/ (* a1 a1) (sqrt 2))
68.0ms	(/ (sqrt 2) a2)

simplify1.3s

Counts: 282 → 282

prune3.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
53×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-prod`
31×	`associate-/r*`
25×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
6×	`pow1`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

Slowest

29.0ms	(/ (* (cos th) a2) (/ (sqrt 2) a2))
15.0ms	(* (cos th) a2)
9.0ms	(/ (* a1 a1) (sqrt 2))
5.0ms	(/ (sqrt 2) a2)

series375.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(/ (* (cos th) a2) (/ (sqrt 2) a2))
87.0ms	(/ (* a1 a1) (sqrt 2))
80.0ms	(/ (sqrt 2) a2)
69.0ms	(* (cos th) a2)

simplify677.0ms

Counts: 164 → 164

prune2.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes402.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.4s	2550×	body	1280	valid
1.7s	2106×	body	640	valid
1.7s	8016×	body	80	valid
1.0s	1085×	body	320	valid
232.0ms	487×	body	160	valid