Details

sample260.0ms

Algorithm

intervals

Results

111.0ms	75×	body	1280	valid
51.0ms	56×	body	640	valid
47.0ms	257×	body	80	valid
18.0ms	31×	body	320	valid
8.0ms	17×	body	160	valid

simplify202.0ms

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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

23.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
22.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
20.0ms	(/ (cos th) (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series477.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
138.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
86.0ms	(/ (cos th) (sqrt 2))
67.0ms	(/ (cos th) (sqrt 2))

simplify600.0ms

Counts: 192 → 192

prune2.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.3b	(/ (* (cos th) (* a2 a2)) (sqrt 2))
0.2b	(* (/ (cos th) (sqrt 2)) (* a1 a1))
0.1b	(* (cos th) (* a2 a2))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

44×	`times-frac`
43×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
28×	`sqrt-prod`
25×	`associate-l`
14×	`pow1`
12×	`associate-/r*` `prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`div-inv`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative`
1×	`associate-*l/`

Counts

4 → 144

Calls

4 calls:

Slowest

35.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
33.0ms	(* (cos th) (* a2 a2))
20.0ms	(/ (* (cos th) (* a2 a2)) (sqrt 2))
17.0ms	(/ (cos th) (sqrt 2))

series441.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(/ (* (cos th) (* a2 a2)) (sqrt 2))
141.0ms	(* (/ (cos th) (sqrt 2)) (* a1 a1))
70.0ms	(* (cos th) (* a2 a2))
70.0ms	(/ (cos th) (sqrt 2))

simplify581.0ms

Counts: 156 → 156

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* a1 a1) (/ (sqrt 2) (cos th)))
0.3b	(/ (* (cos th) (* a2 a2)) (sqrt 2))
0.2b	(/ (sqrt 2) (cos th))
0.1b	(* (cos th) (* a2 a2))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

82×	`times-frac`
51×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-prod`
32×	`add-cbrt-cube` `add-exp-log`
31×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
8×	`prod-exp` `cbrt-unprod` `associate-/l*`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `pow-prod-down`
1×	`associate-r` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

Slowest

46.0ms	(/ (* (cos th) (* a2 a2)) (sqrt 2))
32.0ms	(* (cos th) (* a2 a2))
26.0ms	(/ (* a1 a1) (/ (sqrt 2) (cos th)))
11.0ms	(/ (sqrt 2) (cos th))

series413.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(/ (* (cos th) (* a2 a2)) (sqrt 2))
136.0ms	(/ (* a1 a1) (/ (sqrt 2) (cos th)))
65.0ms	(/ (sqrt 2) (cos th))
61.0ms	(* (cos th) (* a2 a2))

simplify846.0ms

Counts: 175 → 175

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (cos th) (sqrt 2))
0.3b	(/ (* a1 a1) (sqrt 2))
0.2b	(* (/ (cos th) (sqrt 2)) (* a2 a2))
0.1b	(* (cos th) (/ (* a1 a1) (sqrt 2)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
51×	`add-sqr-sqrt`
40×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
25×	`associate-l`
12×	`associate-/r*`
11×	`pow1` `associate-r` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-l/` `associate-r/`

Counts

4 → 155

Calls

4 calls:

Slowest

38.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
17.0ms	(* (cos th) (/ (* a1 a1) (sqrt 2)))
10.0ms	(/ (* a1 a1) (sqrt 2))
9.0ms	(/ (cos th) (sqrt 2))

series523.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(* (cos th) (/ (* a1 a1) (sqrt 2)))
153.0ms	(* (/ (cos th) (sqrt 2)) (* a2 a2))
118.0ms	(/ (* a1 a1) (sqrt 2))
78.0ms	(/ (cos th) (sqrt 2))

simplify764.0ms

Counts: 167 → 167

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes405.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.0s	2550×	body	1280	valid
2.3s	2106×	body	640	valid
1.8s	8016×	body	80	valid
711.0ms	1085×	body	320	valid
188.0ms	487×	body	160	valid