Details

sample1.0s

Algorithm

intervals

Results

755.0ms	234×	body	10240	exit
109.0ms	285×	body	80	valid
5.0ms	7×	body	160	valid

simplify511.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize18.0ms

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)

rewrite57.0ms

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

36.0ms	(/ (tan (* PI l)) (* F F))
8.0ms	(tan (* PI l))
5.0ms	(* PI l)
5.0ms	(* PI l)

series376.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

210.0ms	(/ (tan (* PI l)) (* F F))
88.0ms	(tan (* PI l))
41.0ms	(* PI l)
36.0ms	(* PI l)

simplify694.0ms

Counts: 95 → 90

prune758.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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)

rewrite53.0ms

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

21.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
10.0ms	(* PI l)
9.0ms	(tan (* PI l))

series313.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

165.0ms	(/ (tan (* PI l)) F)
99.0ms	(tan (* PI l))
28.0ms	(* PI l)
20.0ms	(* PI l)

simplify857.0ms

Counts: 107 → 96

prune996.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

2.4b	(tan (* PI l))
0.8b	(/ 1 (/ F (tan (* PI l))))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite65.0ms

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

29.0ms	(/ 1 (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))
10.0ms	(* PI l)
8.0ms	(* PI l)

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(/ 1 (/ F (tan (* PI l))))
90.0ms	(tan (* PI l))
36.0ms	(* PI l)
22.0ms	(* PI l)

simplify579.0ms

Counts: 191 → 148

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

2.3b	(cos (* PI l))
2.3b	(sin (* PI l))
0.3b	(* (/ 1 F) (sin (* PI l)))
0.2b	(* PI l)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-l`
15×	`*-un-lft-identity` `add-exp-log`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`associate-r`
5×	`prod-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `div-inv`

Counts

4 → 79

Calls

4 calls:

Slowest

50.0ms	(* (/ 1 F) (sin (* PI l)))
15.0ms	(sin (* PI l))
13.0ms	(cos (* PI l))
11.0ms	(* PI l)

series139.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(* (/ 1 F) (sin (* PI l)))
25.0ms	(* PI l)
22.0ms	(sin (* PI l))
22.0ms	(cos (* PI l))

simplify347.0ms

Counts: 93 → 91

prune988.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

regimes449.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample20.5s

Algorithm

intervals

Results

17.5s	7736×	body	10240	exit
2.5s	8931×	body	80	valid
104.0ms	225×	body	160	valid