Details

sample404.0ms

Algorithm

intervals

Results

124.0ms	23×	body	2560	valid
72.0ms	50×	body	1280	valid
30.0ms	40×	body	640	valid
22.0ms	159×	body	80	valid
11.0ms	12×	body	320	valid
2.0ms	4×	body	160	valid

simplify92.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
1.1b	(/ 1.0 (* F F))
4.2b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.2b	(tan (* PI l))

rewrite131.0ms

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:

15.0ms	(* PI l)
16.0ms	(/ 1.0 (* F F))
83.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series445.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
60.0ms	(/ 1.0 (* F F))
209.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
147.0ms	(tan (* PI l))

simplify40.0ms

Counts: 89 → 89

prune353.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
30.2b	(tan (* PI l))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

14.0ms	(* PI l)
15.0ms	(* PI l)
73.0ms	(* (/ 1.0 F) (tan (* PI l)))
12.0ms	(tan (* PI l))

series407.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* PI l)
40.0ms	(* PI l)
212.0ms	(* (/ 1.0 F) (tan (* PI l)))
104.0ms	(tan (* PI l))

simplify81.0ms

Counts: 90 → 90

prune400.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ (sin (* PI l)) (* (cos (* PI l)) F))
29.9b	(cos (* PI l))
30.0b	(sin (* PI l))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

7.0ms	(* PI l)
26.0ms	(/ (sin (* PI l)) (* (cos (* PI l)) F))
7.0ms	(cos (* PI l))
8.0ms	(sin (* PI l))

series315.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
214.0ms	(/ (sin (* PI l)) (* (cos (* PI l)) F))
33.0ms	(cos (* PI l))
26.0ms	(sin (* PI l))

simplify126.0ms

Counts: 65 → 65

prune308.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* PI l))
0.6b	(* (cbrt (* PI l)) (cbrt (* PI l)))
29.6b	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))
30.0b	(sin (* PI l))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1/3`
6×	`add-exp-log`
5×	`cbrt-prod`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

7.0ms	(cbrt (* PI l))
30.0ms	(* (cbrt (* PI l)) (cbrt (* PI l)))
91.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))
8.0ms	(sin (* PI l))

series919.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt (* PI l))
515.0ms	(* (cbrt (* PI l)) (cbrt (* PI l)))
33.0ms	(cos (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))
48.0ms	(sin (* PI l))

simplify98.0ms

Counts: 66 → 66

prune337.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.9b

regimes677.0ms

Accuracy

79.3% (1.0b remaining)

Error of 8.8b against oracle of 7.9b and baseline of 12.6b

bsearch4.0ms

simplify56.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.1s	823×	body	2560	valid
3.2s	1654×	body	1280	valid
875.0ms	987×	body	640	valid
808.0ms	4508×	body	80	valid
181.0ms	411×	body	320	valid
97.0ms	3×	body	10240	exit
68.0ms	232×	body	160	valid