Details

sample170.0ms

Algorithm

intervals

Results

55.0ms	80×	body	1280	valid
51.0ms	62×	body	640	valid
28.0ms	253×	body	80	valid
14.0ms	38×	body	320	valid
6.0ms	22×	body	160	valid

simplify190.0ms

Counts: 1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize49.0ms

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))

rewrite115.0ms

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

43.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
35.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
17.0ms	(/ (cos th) (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series474.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
155.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
81.0ms	(/ (cos th) (sqrt 2))
70.0ms	(/ (cos th) (sqrt 2))

simplify713.0ms

Counts: 192 → 192

prune2.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize63.0ms

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))

rewrite101.0ms

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

42.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
18.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
9.0ms	(/ (cos th) (sqrt (sqrt 2)))
9.0ms	(/ (cos th) (sqrt 2))

series507.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(/ (cos th) (sqrt (sqrt 2)))
148.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
105.0ms	(/ (cos th) (sqrt 2))
94.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify1.5s

Counts: 493 → 493

prune7.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize81.0ms

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))

rewrite90.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 589

Calls

4 calls:

Slowest

22.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
22.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
9.0ms	(/ (cos th) (sqrt 2))
6.0ms	(/ 1 (sqrt (sqrt 2)))

series263.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

148.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
115.0ms	(/ (cos th) (sqrt 2))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))
0.0ms	(/ 1 (sqrt (sqrt 2)))

simplify1.0s

Counts: 597 → 597

prune11.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.4b	(/ (/ (sqrt 2) (cos th)) a1)
0.3b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.2b	(/ (sqrt 2) (cos th))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac`
127×	`add-sqr-sqrt`
122×	`*-un-lft-identity` `add-cube-cbrt`
70×	`sqrt-prod`
31×	`associate-/l*`
25×	`add-cbrt-cube` `add-exp-log`
22×	`associate-l`
12×	`associate-/r*`
9×	`pow1`
8×	`div-inv`
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 → 241

Calls

4 calls:

Slowest

21.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
10.0ms	(/ (/ (sqrt 2) (cos th)) a1)
9.0ms	(/ (cos th) (sqrt 2))
5.0ms	(/ (sqrt 2) (cos th))

series379.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
108.0ms	(/ (/ (sqrt 2) (cos th)) a1)
65.0ms	(/ (sqrt 2) (cos th))
64.0ms	(/ (cos th) (sqrt 2))

simplify947.0ms

Counts: 253 → 253

prune3.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes523.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.3s	2562×	body	1280	valid
2.1s	8073×	body	80	valid
1.6s	2081×	body	640	valid
1.1s	1058×	body	320	valid
216.0ms	530×	body	160	valid