Details

sample265.0ms

Algorithm

intervals

Results

80.0ms	82×	body	1280	valid
62.0ms	77×	body	640	valid
48.0ms	40×	body	320	valid
42.0ms	245×	body	80	valid
9.0ms	26×	body	160	valid

simplify198.0ms

Counts: 1 → 1

prune20.0ms

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

rewrite88.0ms

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

35.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
21.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
19.0ms	(/ (cos th) (sqrt 2))
8.0ms	(/ (cos th) (sqrt 2))

series523.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

180.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
167.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
93.0ms	(/ (cos th) (sqrt 2))
83.0ms	(/ (cos th) (sqrt 2))

simplify733.0ms

Counts: 192 → 192

prune2.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

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×	`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 → 241

Calls

4 calls:

Slowest

43.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
17.0ms	(/ a1 (/ (sqrt 2) a1))
9.0ms	(/ (cos th) (sqrt 2))
5.0ms	(/ (sqrt 2) a1)

series419.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

149.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
102.0ms	(/ (cos th) (sqrt 2))
97.0ms	(/ a1 (/ (sqrt 2) a1))
71.0ms	(/ (sqrt 2) a1)

simplify1.0s

Counts: 253 → 253

prune3.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac`
131×	`add-sqr-sqrt`
123×	`*-un-lft-identity` `add-cube-cbrt`
70×	`sqrt-prod`
31×	`associate-/r*`
22×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
8×	`div-inv`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
2×	`prod-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 238

Calls

4 calls:

Slowest

16.0ms	(* (/ (cos th) (sqrt 2)) a2)
9.0ms	(/ (cos th) (sqrt 2))
6.0ms	(/ a1 (/ (sqrt 2) a1))
5.0ms	(/ (sqrt 2) a1)

series418.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

164.0ms	(* (/ (cos th) (sqrt 2)) a2)
109.0ms	(/ a1 (/ (sqrt 2) a1))
83.0ms	(/ (cos th) (sqrt 2))
62.0ms	(/ (sqrt 2) a1)

simplify1.1s

Counts: 250 → 250

prune3.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize45.0ms

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

1149×	`sqrt-prod`
1137×	`times-frac`
640×	`add-sqr-sqrt`
593×	`*-un-lft-identity` `add-cube-cbrt`
283×	`associate-l`
40×	`associate-/l*`
23×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log`
21×	`associate-/r*`
13×	`unswap-sqr`
8×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `prod-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 751

Calls

4 calls:

Slowest

32.0ms	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)
23.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))
14.0ms	(/ (cos th) (sqrt (sqrt 2)))
9.0ms	(/ (sqrt 2) a1)

series819.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

555.0ms	(* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a2)
125.0ms	(/ (cos th) (sqrt (sqrt 2)))
71.0ms	(/ (sqrt 2) a1)
67.0ms	(/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))

simplify1.0s

Counts: 763 → 763

prune12.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes565.0ms

Accuracy

0% (0.4b remaining)

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

bsearch5.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.7s	2494×	body	1280	valid
2.6s	2078×	body	640	valid
1.5s	8071×	body	80	valid
564.0ms	1051×	body	320	valid
197.0ms	527×	body	160	valid