Details

sample423.0ms

Algorithm

intervals

Results

135.0ms	54×	body	1280	valid
134.0ms	22×	body	2560	valid
25.0ms	30×	body	640	valid
22.0ms	143×	body	80	valid
11.0ms	22×	body	320	valid
3.0ms	10×	body	160	valid

simplify274.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 16.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite141.0ms

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)
10.0ms	(/ 1.0 (* F F))
89.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.0ms	(tan (* PI l))

series369.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
34.0ms	(/ 1.0 (* F F))
210.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
97.0ms	(tan (* PI l))

simplify3.1s

Counts

97 → 97

Iterations

Useful iterations: 2 (289.0ms)

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

prune367.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite98.0ms

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)
67.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
10.0ms	(tan (* PI l))

series401.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
43.0ms	(* PI l)
240.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
79.0ms	(tan (* PI l))

simplify2.8s

Counts

108 → 108

Iterations

Useful iterations: done (2.7s)

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

prune666.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.9b

localize45.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ (cbrt 1.0) F) (tan (* PI l))))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
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-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 44

Calls

4 calls:

37.0ms	(cbrt (* (/ (cbrt 1.0) F) (tan (* PI l))))
14.0ms	(tan (* PI l))
8.0ms	(tan (* PI l))
16.0ms	(tan (* PI l))

series808.0ms

Counts

4 → 12

Calls

4 calls:

518.0ms	(cbrt (* (/ (cbrt 1.0) F) (tan (* PI l))))
96.0ms	(tan (* PI l))
92.0ms	(tan (* PI l))
102.0ms	(tan (* PI l))

simplify3.5s

Counts

56 → 56

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	89	593
1	183	586
2	437	540
3	1330	522
4	4906	511
done	5000	511

prune474.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 11.9b

localize34.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ (cbrt 1.0) F) (tan (* PI l))))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
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-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 44

Calls

4 calls:

39.0ms	(cbrt (* (/ (cbrt 1.0) F) (tan (* PI l))))
26.0ms	(tan (* PI l))
9.0ms	(tan (* PI l))
9.0ms	(tan (* PI l))

series821.0ms

Counts

4 → 12

Calls

4 calls:

532.0ms	(cbrt (* (/ (cbrt 1.0) F) (tan (* PI l))))
116.0ms	(tan (* PI l))
88.0ms	(tan (* PI l))
84.0ms	(tan (* PI l))

simplify4.3s

Counts

56 → 56

Iterations

Useful iterations: 4 (2.6s)

Iter	Nodes	Cost
0	89	593
1	183	586
2	437	540
3	1330	522
4	4906	511
done	5000	511

prune453.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 11.9b

regimes552.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.0b and baseline of 12.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	45
1	24	45
done	24	45

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.0s	815×	body	2560	valid
2.1s	1642×	body	1280	valid
850.0ms	1023×	body	640	valid
573.0ms	4530×	body	80	valid
164.0ms	405×	body	320	valid
113.0ms	3×	body	10240	exit
61.0ms	223×	body	160	valid