Details

sample696.0ms

Algorithm

intervals

Results

509.0ms	229×	body	10240	exit
68.0ms	297×	body	80	valid
3.0ms	7×	body	160	valid

simplify894.0ms

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.2b

localize31.0ms

Local error

Found 4 expressions with local error:

8.7b	(/ (tan (* PI l)) (* F F))
3.0b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite52.0ms

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

16.0ms	(tan (* PI l))
15.0ms	(/ (tan (* PI l)) (* F F))
11.0ms	(* PI l)
8.0ms	(* PI l)

series364.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(/ (tan (* PI l)) (* F F))
118.0ms	(tan (* PI l))
40.0ms	(* PI l)
25.0ms	(* PI l)

simplify776.0ms

Counts: 82 → 82

prune652.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

3.0b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite44.0ms

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

16.0ms	(tan (* PI l))
14.0ms	(/ (tan (* PI l)) F)
7.0ms	(* PI l)
6.0ms	(* PI l)

series314.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(/ (tan (* PI l)) F)
113.0ms	(tan (* PI l))
36.0ms	(* PI l)
23.0ms	(* PI l)

simplify1.8s

Counts: 88 → 88

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (* PI l))
2.9b	(cos (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite26.0ms

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

7.0ms	(cos (* PI l))
7.0ms	(sin (* PI l))
5.0ms	(* PI l)
5.0ms	(* PI l)

series135.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

50.0ms	(sin (* PI l))
40.0ms	(* PI l)
23.0ms	(* PI l)
22.0ms	(cos (* PI l))

simplify1.9s

Counts: 66 → 66

prune787.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize62.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (* PI l))
2.9b	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))
0.7b	(cbrt (* PI l))
0.7b	(cbrt (* PI l))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`cbrt-prod` `pow1/3`

Counts

4 → 36

Calls

4 calls:

Slowest

107.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))
15.0ms	(sin (* PI l))
3.0ms	(cbrt (* PI l))
3.0ms	(cbrt (* PI l))

series762.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

363.0ms	(cbrt (* PI l))
330.0ms	(cbrt (* PI l))
35.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))
34.0ms	(sin (* PI l))

simplify1.7s

Counts: 48 → 48

prune644.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

regimes604.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch4.0ms

end0.0ms

sample20.2s

Algorithm

intervals

Results

17.8s	7777×	body	10240	exit
1.8s	8913×	body	80	valid
109.0ms	248×	body	160	valid