Details

sample634.0ms

Algorithm

intervals

Results

189.0ms	29×	body	2560	valid
126.0ms	58×	body	1280	valid
67.0ms	15×	body	320	valid
38.0ms	145×	body	80	valid
33.0ms	21×	body	640	valid
26.0ms	1×	body	10240	exit
4.0ms	6×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4695
7	2334
6	817
5	388
4	156
3	86
2	43
1	20
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
3.2b	(/ (tan (* PI l)) (* F F))
29.8b	(tan (* PI l))

rewrite65.0ms

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:

5.0ms	(* PI l)
5.0ms	(* PI l)
24.0ms	(/ (tan (* PI l)) (* F F))
27.0ms	(tan (* PI l))

series328.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* PI l)
41.0ms	(* PI l)
157.0ms	(/ (tan (* PI l)) (* F F))
95.0ms	(tan (* PI l))

simplify2.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5040
3	3132
2	709
1	230
0	102

prune456.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)
0.2b	(* (/ 1 F) (/ (tan (* PI l)) F))
29.8b	(tan (* PI l))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
34×	`times-frac`
30×	`*-un-lft-identity` `add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
16×	`associate-r` `associate-l`
9×	`div-exp` `prod-exp`
8×	`pow1`
7×	`unswap-sqr`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `1-exp` `pow-prod-down` `tan-quot` `*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-l/` `associate-r/` `associate-/l/`

Counts

4 → 114

Calls

4 calls:

11.0ms	(* PI l)
23.0ms	(/ (tan (* PI l)) F)
29.0ms	(* (/ 1 F) (/ (tan (* PI l)) F))
22.0ms	(tan (* PI l))

series452.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* PI l)
132.0ms	(/ (tan (* PI l)) F)
165.0ms	(* (/ 1 F) (/ (tan (* PI l)) F))
112.0ms	(tan (* PI l))

simplify2.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1472
1	498
0	190

prune695.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.7b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
29.7b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
88.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series939.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt l)
242.0ms	(cbrt l)
298.0ms	(cbrt l)
127.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify2.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
4	3022
3	802
2	282
1	114
0	56

prune407.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.7b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt (* (cbrt l) (cbrt l)))
29.9b	(tan (* (* PI (* (cbrt l) (cbrt l))) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

7×	`cbrt-prod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
4.0ms	(cbrt (* (cbrt l) (cbrt l)))
128.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt l)
249.0ms	(cbrt l)
382.0ms	(cbrt (* (cbrt l) (cbrt l)))
109.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (* (cbrt (* (cbrt l) (cbrt l))) (cbrt (cbrt l)))))

simplify3.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
4	4604
3	1210
2	409
1	158
0	76

prune395.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.7b

regimes595.0ms

Accuracy

75.4% (1.3b remaining)

Error of 7.6b against oracle of 6.3b and baseline of 11.7b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
1	33
0	28

end0.0ms

sample12.0s

Algorithm

intervals

Results

4.5s	787×	body	2560	valid
4.0s	1653×	body	1280	valid
1.2s	4565×	body	80	valid
1.2s	971×	body	640	valid
428.0ms	402×	body	320	valid
179.0ms	6×	body	10240	exit
142.0ms	203×	body	160	valid