Details

sample205.0ms

Algorithm

intervals

Results

68.0ms	86×	body	640	valid
61.0ms	66×	body	1280	valid
37.0ms	256×	body	80	valid
14.0ms	30×	body	320	valid
5.0ms	14×	body	160	valid

simplify179.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

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

rewrite93.0ms

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

40.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
29.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
13.0ms	(/ (cos th) (sqrt 2))
8.0ms	(/ (cos th) (sqrt 2))

series452.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
142.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
80.0ms	(/ (cos th) (sqrt 2))
69.0ms	(/ (cos th) (sqrt 2))

simplify637.0ms

Counts: 184 → 184

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite99.0ms

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

Counts

4 → 473

Calls

4 calls:

Slowest

29.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
28.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
12.0ms	(/ (cos th) (sqrt (sqrt 2)))
8.0ms	(/ (cos th) (sqrt 2))

series466.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
129.0ms	(/ (cos th) (sqrt (sqrt 2)))
89.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
84.0ms	(/ (cos th) (sqrt 2))

simplify2.0s

Counts: 485 → 485

prune7.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
1.0b	(/ 1 (sqrt (sqrt 2)))
0.7b	(/ (cos th) (sqrt 2))
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

793×	`sqrt-prod`
788×	`times-frac`
434×	`add-sqr-sqrt`
429×	`*-un-lft-identity` `add-cube-cbrt`
192×	`cbrt-prod`
37×	`associate-/l*`
31×	`add-exp-log`
27×	`associate-/r*`
25×	`add-cbrt-cube`
22×	`associate-l`
17×	`div-inv`
13×	`pow1`
11×	`div-exp`
7×	`cbrt-undiv` `sqrt-pow1` `pow-flip`
6×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow1/2` `pow-prod-down` `unswap-sqr`
2×	`rec-exp` `pow1/3` `1-exp` `pow-div`
1×	`associate-r` `associate-l/` `-commutative` `inv-pow` `associate-/l/`

Counts

4 → 581

Calls

4 calls:

Slowest

33.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
23.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
9.0ms	(/ 1 (sqrt (sqrt 2)))
8.0ms	(/ (cos th) (sqrt 2))

series290.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

176.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
114.0ms	(/ (cos th) (sqrt 2))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
0.0ms	(/ 1 (sqrt (sqrt 2)))

simplify1.4s

Counts: 589 → 589

prune11.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

1365×	`sqrt-prod`
1326×	`times-frac`
709×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
192×	`cbrt-prod`
68×	`associate-/l*`
39×	`associate-/r*`
27×	`div-inv`
24×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`div-exp`
8×	`pow1` `cbrt-undiv`
7×	`sqrt-pow1` `pow-flip`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`pow1/2`
2×	`rec-exp` `pow1/3` `1-exp` `pow-div` `associate-/l/`
1×	`inv-pow`

Counts

4 → 882

Calls

4 calls:

Slowest

29.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
19.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
17.0ms	(/ (cos th) (sqrt (sqrt 2)))
5.0ms	(/ 1 (sqrt (sqrt 2)))

series245.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

164.0ms	(/ (cos th) (sqrt (sqrt 2)))
81.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
0.0ms	(/ 1 (sqrt (sqrt 2)))

simplify2.1s

Counts: 890 → 890

prune17.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes418.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch9.0ms

end0.0ms

sample8.2s

Algorithm

intervals

Results

3.6s	2559×	body	1280	valid
1.7s	2079×	body	640	valid
1.6s	8043×	body	80	valid
614.0ms	1004×	body	320	valid
200.0ms	533×	body	160	valid