Details

sample211.0ms

Algorithm

intervals

Results

76.0ms	84×	body	1280	valid
56.0ms	225×	body	80	valid
41.0ms	66×	body	640	valid
13.0ms	30×	body	320	valid
5.0ms	15×	body	160	valid

simplify220.0ms

Counts: 1 → 1

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.7b	(/ (cos th) (sqrt 2))
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.2b	(* (/ (cos th) (sqrt 2)) (* a1 a1))

rewrite72.0ms

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:

Slowest

27.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
21.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
13.0ms	(/ (cos th) (sqrt 2))
8.0ms	(/ (cos th) (sqrt 2))

series511.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

169.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
164.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
100.0ms	(/ (cos th) (sqrt 2))
77.0ms	(/ (cos th) (sqrt 2))

simplify663.0ms

Counts: 234 → 192

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

616×	`sqrt-prod`
614×	`times-frac`
345×	`add-sqr-sqrt`
340×	`*-un-lft-identity` `add-cube-cbrt`
37×	`associate-/l*`
25×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
22×	`associate-l`
14×	`div-inv`
9×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 481

Calls

4 calls:

Slowest

24.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
15.0ms	(/ (cos th) (sqrt (sqrt 2)))
14.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
8.0ms	(/ (cos th) (sqrt 2))

series471.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
128.0ms	(/ (cos th) (sqrt (sqrt 2)))
92.0ms	(/ (cos th) (sqrt 2))
73.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify878.0ms

Counts: 822 → 493

prune7.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.6b	(/ (cos th) (sqrt (sqrt 2)))
0.6b	(/ (cos th) (sqrt (sqrt 2)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

1188×	`sqrt-prod`
1152×	`times-frac`
620×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
68×	`associate-/l*`
36×	`associate-/r*`
24×	`div-inv`
18×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 782

Calls

4 calls:

Slowest

29.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
27.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
18.0ms	(/ (cos th) (sqrt (sqrt 2)))
9.0ms	(/ (cos th) (sqrt (sqrt 2)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

125.0ms	(/ (cos th) (sqrt (sqrt 2)))
123.0ms	(/ (cos th) (sqrt (sqrt 2)))
97.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
79.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify879.0ms

Counts: 1410 → 794

prune11.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ 1 (sqrt (sqrt 2)))
0.7b	(/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2)))))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.6b	(/ (cos th) (sqrt (sqrt 2)))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

3543×	`times-frac`
2718×	`sqrt-prod`
1679×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
311×	`associate-/r*`
54×	`div-inv`
40×	`associate-/l*`
30×	`add-exp-log`
22×	`add-cbrt-cube`
17×	`div-exp`
11×	`cbrt-undiv`
7×	`pow1`
5×	`associate-/r/` `pow-flip`
4×	`expm1-log1p-u` `clear-num` `frac-2neg` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `pow1/2` `1-exp`
1×	`inv-pow` `associate-/l/`

Counts

4 → 1614

Calls

4 calls:

Slowest

38.0ms	(/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2)))))
15.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
13.0ms	(/ 1 (sqrt (sqrt 2)))
9.0ms	(/ (cos th) (sqrt (sqrt 2)))

series322.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

116.0ms	(/ (cos th) (sqrt (sqrt 2)))
112.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
94.0ms	(/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2)))))
0.0ms	(/ 1 (sqrt (sqrt 2)))

simplify7.9s

Counts: 2812 → 1624

prune27.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch4.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.3s	2589×	body	1280	valid
2.1s	2071×	body	640	valid
1.5s	7921×	body	80	valid
999.0ms	1025×	body	320	valid
264.0ms	530×	body	160	valid