Details

sample681.0ms

Algorithm

intervals

Results

503.0ms	234×	body	10240	exit
65.0ms	285×	body	80	valid
3.0ms	7×	body	160	valid

simplify457.0ms

Counts: 1 → 1

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize33.0ms

Local error

Found 4 expressions with local error:

8.0b	(/ (tan (* PI l)) (* F F))
2.4b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `tan-quot` `*-commutative` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-inv` `associate-/l/`

Counts

4 → 70

Calls

4 calls:

Slowest

30.0ms	(/ (tan (* PI l)) (* F F))
14.0ms	(tan (* PI l))
5.0ms	(* PI l)
5.0ms	(* PI l)

series330.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(/ (tan (* PI l)) (* F F))
84.0ms	(tan (* PI l))
36.0ms	(* PI l)
25.0ms	(* PI l)

simplify844.0ms

Counts: 87 → 82

prune840.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.3b	(cos (* PI l))
2.3b	(sin (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

Slowest

14.0ms	(sin (* PI l))
12.0ms	(cos (* PI l))
11.0ms	(* PI l)
11.0ms	(* PI l)

series123.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

45.0ms	(sin (* PI l))
30.0ms	(cos (* PI l))
28.0ms	(* PI l)
21.0ms	(* PI l)

simplify728.0ms

Counts: 66 → 66

prune673.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

2.4b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `prod-exp` `tan-quot` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

4 → 76

Calls

4 calls:

Slowest

11.0ms	(/ (tan (* PI l)) F)
8.0ms	(* PI l)
8.0ms	(tan (* PI l))
5.0ms	(* PI l)

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(/ (tan (* PI l)) F)
79.0ms	(tan (* PI l))
38.0ms	(* PI l)
28.0ms	(* PI l)

simplify605.0ms

Counts: 99 → 88

prune894.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

2.3b	(cos (* PI l))
2.3b	(sin (* (sqrt PI) (* (sqrt PI) l)))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 44

Calls

4 calls:

Slowest

34.0ms	(sin (* (sqrt PI) (* (sqrt PI) l)))
15.0ms	(cos (* PI l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series68.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

42.0ms	(sin (* (sqrt PI) (* (sqrt PI) l)))
26.0ms	(cos (* PI l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify332.0ms

Counts: 54 → 52

prune586.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

regimes378.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch4.0ms

end0.0ms

sample20.5s

Algorithm

intervals

Results

17.9s	7736×	body	10240	exit
2.0s	8931×	body	80	valid
106.0ms	225×	body	160	valid