Details

sample1.4s

Algorithm

intervals

Results

1.1s	246×	body	10240	exit
74.0ms	296×	body	80	valid
3.0ms	5×	body	160	valid

simplify333.0ms

Counts: 1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

Local error

Found 4 expressions with local error:

6.2b	(/ (tan (* PI l)) (* F F))
2.6b	(tan (* PI l))
0.3b	(* PI l)
0.3b	(* PI l)

rewrite38.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 78

Calls

4 calls:

Slowest

17.0ms	(/ (tan (* PI l)) (* F F))
8.0ms	(tan (* PI l))
6.0ms	(* PI l)
5.0ms	(* PI l)

series353.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

213.0ms	(/ (tan (* PI l)) (* F F))
86.0ms	(tan (* PI l))
29.0ms	(* PI l)
25.0ms	(* PI l)

simplify872.0ms

Counts: 90 → 90

prune881.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

2.6b	(tan (* PI l))
0.3b	(* PI l)
0.3b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite63.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 84

Calls

4 calls:

Slowest

22.0ms	(/ (tan (* PI l)) F)
17.0ms	(tan (* PI l))
11.0ms	(* PI l)
11.0ms	(* PI l)

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(/ (tan (* PI l)) F)
92.0ms	(tan (* PI l))
32.0ms	(* PI l)
28.0ms	(* PI l)

simplify1.8s

Counts: 96 → 96

prune974.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

2.6b	(tan (* PI l))
1.1b	(/ 1 (/ F (tan (* PI l))))
0.3b	(* PI l)
0.3b	(* PI l)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 136

Calls

4 calls:

Slowest

14.0ms	(/ 1 (/ F (tan (* PI l))))
14.0ms	(tan (* PI l))
11.0ms	(* PI l)
5.0ms	(* PI l)

series318.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

183.0ms	(/ 1 (/ F (tan (* PI l))))
79.0ms	(tan (* PI l))
34.0ms	(* PI l)
22.0ms	(* PI l)

simplify1.2s

Counts: 148 → 148

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

15.3b	(cbrt (/ (tan (* PI l)) F))
15.3b	(cbrt (/ (tan (* PI l)) F))
15.3b	(cbrt (/ (tan (* PI l)) F))
2.6b	(tan (* PI l))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 86

Calls

4 calls:

Slowest

16.0ms	(tan (* PI l))
3.0ms	(cbrt (/ (tan (* PI l)) F))
3.0ms	(cbrt (/ (tan (* PI l)) F))
3.0ms	(cbrt (/ (tan (* PI l)) F))

series850.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

305.0ms	(cbrt (/ (tan (* PI l)) F))
231.0ms	(cbrt (/ (tan (* PI l)) F))
223.0ms	(cbrt (/ (tan (* PI l)) F))
91.0ms	(tan (* PI l))

simplify1.7s

Counts: 98 → 98

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.5b

regimes371.0ms

Accuracy

0% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch2.0ms

end0.0ms

sample20.4s

Algorithm

intervals

Results

17.8s	7541×	body	10240	exit
2.0s	8842×	body	80	valid
133.0ms	275×	body	160	valid