Details

sample298.0ms

Algorithm

intervals

Results

105.0ms	30×	body	2560	valid
98.0ms	59×	body	1280	valid
14.0ms	27×	body	640	valid
13.0ms	131×	body	80	valid
4.0ms	14×	body	320	valid
2.0ms	12×	body	160	valid

simplify184.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	122	14
5	147	14
6	156	14
7	158	14
done	158	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.9b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
33.2b	(tan (* PI l))

rewrite85.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

7.0ms	(* PI l)
9.0ms	(/ 1.0 (* F F))
46.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
16.0ms	(tan (* PI l))

series391.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
31.0ms	(/ 1.0 (* F F))
190.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
129.0ms	(tan (* PI l))

simplify3.0s

Counts

97 → 97

Iterations

Useful iterations: 2 (288.0ms)

Iter	Nodes	Cost
0	143	924
1	316	903
2	1013	771
3	4042	771
done	5000	771

prune406.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.9b

localize37.0ms

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)))
33.2b	(tan (* PI l))

rewrite70.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

7.0ms	(* PI l)
11.0ms	(* PI l)
40.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
9.0ms	(tan (* PI l))

series402.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
33.0ms	(* PI l)
264.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
82.0ms	(tan (* PI l))

simplify2.4s

Counts

108 → 108

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	139	939
1	303	917
2	803	841
3	2603	841
done	5001	832

prune636.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.8b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
33.2b	(tan (* PI l))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt F)
2.0ms	(cbrt F)
2.0ms	(cbrt F)
18.0ms	(tan (* PI l))

series971.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt F)
285.0ms	(cbrt F)
284.0ms	(cbrt F)
83.0ms	(tan (* PI l))

simplify2.8s

Counts

61 → 61

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	55	322
1	107	308
2	250	282
3	722	273
4	2713	273
done	5000	271

prune423.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 13.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
33.0b	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`tan-quot`

Counts

4 → 43

Calls

4 calls:

7.0ms	(cbrt (* PI l))
6.0ms	(cbrt (* PI l))
3.0ms	(cbrt (* PI l))
102.0ms	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series1.3s

Counts

4 → 12

Calls

4 calls:

387.0ms	(cbrt (* PI l))
397.0ms	(cbrt (* PI l))
406.0ms	(cbrt (* PI l))
152.0ms	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify3.0s

Counts

55 → 55

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	63	548
1	125	543
2	262	390
3	759	336
4	2775	309
done	5001	307

prune319.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 13.8b

regimes687.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	19	31
1	25	30
done	25	30

end0.0ms

sample9.7s

Algorithm

intervals

Results

5.0s	816×	body	2560	valid
2.4s	1704×	body	1280	valid
836.0ms	929×	body	640	valid
759.0ms	4526×	body	80	valid
176.0ms	379×	body	320	valid
83.0ms	3×	body	10240	exit
65.0ms	214×	body	160	valid