Details

sample290.0ms

Algorithm

intervals

Results

82.0ms	23×	body	2560	valid
56.0ms	138×	body	80	valid
45.0ms	54×	body	1280	valid
15.0ms	32×	body	640	valid
5.0ms	16×	body	320	valid
2.0ms	9×	body	160	valid

simplify11.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
1.1b	(/ 1.0 (* F F))
5.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
57.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series285.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
32.0ms	(/ 1.0 (* F F))
146.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
84.0ms	(tan (* PI l))

simplify37.0ms

Counts: 89 → 89

prune245.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 12.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 88

Calls

4 calls:

7.0ms	(* PI l)
7.0ms	(* PI l)
41.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series303.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
22.0ms	(* PI l)
186.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify86.0ms

Counts: 100 → 100

prune375.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 12.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (cbrt 1.0) F))
0.6b	(cbrt (/ (cbrt 1.0) F))
0.6b	(cbrt (/ (cbrt 1.0) F))
30.3b	(tan (* PI l))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
54×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (/ (cbrt 1.0) F))
3.0ms	(cbrt (/ (cbrt 1.0) F))
3.0ms	(cbrt (/ (cbrt 1.0) F))
9.0ms	(tan (* PI l))

series973.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt (/ (cbrt 1.0) F))
299.0ms	(cbrt (/ (cbrt 1.0) F))
300.0ms	(cbrt (/ (cbrt 1.0) F))
73.0ms	(tan (* PI l))

simplify109.0ms

Counts: 113 → 113

prune510.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 12.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt F)
0.6b	(cbrt (/ (cbrt 1.0) F))
0.6b	(cbrt (/ (cbrt 1.0) F))
30.3b	(tan (* PI l))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-prod`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-div` `div-inv`
1×	`tan-quot`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt F)
3.0ms	(cbrt (/ (cbrt 1.0) F))
3.0ms	(cbrt (/ (cbrt 1.0) F))
10.0ms	(tan (* PI l))

series881.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt F)
303.0ms	(cbrt (/ (cbrt 1.0) F))
299.0ms	(cbrt (/ (cbrt 1.0) F))
72.0ms	(tan (* PI l))

simplify53.0ms

Counts: 93 → 93

prune425.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 12.0b

regimes557.0ms

Accuracy

0% (0.4b remaining)

Error of 12.7b against oracle of 12.3b and baseline of 12.7b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.5s	828×	body	2560	valid
1.6s	1679×	body	1280	valid
612.0ms	4497×	body	80	valid
569.0ms	936×	body	640	valid
156.0ms	380×	body	320	valid
90.0ms	219×	body	160	valid
24.0ms	1×	body	10240	exit