Details

sample250.0ms

Algorithm

intervals

Results

89.0ms	86×	body	640	valid
70.0ms	66×	body	1280	valid
44.0ms	256×	body	80	valid
17.0ms	30×	body	320	valid
5.0ms	14×	body	160	valid

simplify219.0ms

Counts: 1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

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))

rewrite86.0ms

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

29.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
21.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
17.0ms	(/ (cos th) (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series482.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
150.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
95.0ms	(/ (cos th) (sqrt 2))
80.0ms	(/ (cos th) (sqrt 2))

simplify661.0ms

Counts: 192 → 192

prune2.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
73×	`*-un-lft-identity` `add-cube-cbrt`
52×	`sqrt-prod`
32×	`add-cbrt-cube` `add-exp-log`
31×	`associate-/r*`
22×	`associate-l`
10×	`cbrt-undiv` `div-exp` `associate-/l*`
9×	`pow1`
8×	`prod-exp` `cbrt-unprod`
6×	`div-inv`
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/` `associate-/r/` `-commutative`

Counts

4 → 199

Calls

4 calls:

Slowest

40.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
11.0ms	(/ (* a2 a2) (/ (sqrt 2) (cos th)))
11.0ms	(/ (sqrt 2) (cos th))
8.0ms	(/ (cos th) (sqrt 2))

series442.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
152.0ms	(/ (* a2 a2) (/ (sqrt 2) (cos th)))
75.0ms	(/ (cos th) (sqrt 2))
45.0ms	(/ (sqrt 2) (cos th))

simplify882.0ms

Counts: 211 → 211

prune2.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt (sqrt 2)))
0.6b	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.3b	(/ (* a2 a2) (/ (sqrt 2) (cos th)))
0.3b	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

1177×	`times-frac`
1155×	`sqrt-prod`
637×	`add-sqr-sqrt`
603×	`*-un-lft-identity` `add-cube-cbrt`
283×	`associate-l`
44×	`add-cbrt-cube` `add-exp-log`
40×	`associate-/r*`
35×	`associate-/l*`
25×	`div-inv`
16×	`cbrt-undiv` `div-exp`
13×	`unswap-sqr`
11×	`prod-exp` `cbrt-unprod`
9×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
1×	`associate-r` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`

Counts

4 → 781

Calls

4 calls:

Slowest

46.0ms	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
14.0ms	(/ (cos th) (sqrt (sqrt 2)))
14.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
11.0ms	(/ (* a2 a2) (/ (sqrt 2) (cos th)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
139.0ms	(/ (cos th) (sqrt (sqrt 2)))
133.0ms	(/ (* a2 a2) (/ (sqrt 2) (cos th)))
64.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify1.0s

Counts: 793 → 793

prune12.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
1.0b	(/ 1 (sqrt (sqrt 2)))
0.3b	(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
0.3b	(/ (* a2 a2) (/ (sqrt 2) (cos th)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
1173×	`sqrt-prod`
655×	`add-sqr-sqrt`
612×	`*-un-lft-identity`
603×	`add-cube-cbrt`
283×	`associate-l`
64×	`add-exp-log`
44×	`add-cbrt-cube`
40×	`associate-/r*`
35×	`associate-/l*`
26×	`div-exp` `div-inv`
23×	`pow1` `unswap-sqr`
20×	`sqrt-pow1`
17×	`prod-exp`
16×	`cbrt-undiv`
14×	`pow-flip`
11×	`cbrt-unprod`
10×	`pow1/2` `pow-div`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`inv-pow`
1×	`associate-r` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`

Counts

4 → 815

Calls

4 calls:

Slowest

56.0ms	(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
23.0ms	(/ (* a2 a2) (/ (sqrt 2) (cos th)))
17.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
11.0ms	(/ 1 (sqrt (sqrt 2)))

series697.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

561.0ms	(/ (* a2 a2) (/ (sqrt 2) (cos th)))
136.0ms	(* (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1))
0.0ms	(/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))
0.0ms	(/ 1 (sqrt (sqrt 2)))

simplify1.2s

Counts: 823 → 823

prune13.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes530.0ms

Accuracy

0% (0.4b remaining)

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

bsearch4.0ms

end0.0ms

sample8.5s

Algorithm

intervals

Results

3.0s	2559×	body	1280	valid
2.1s	2079×	body	640	valid
2.1s	8043×	body	80	valid
627.0ms	1004×	body	320	valid
219.0ms	533×	body	160	valid