Details

sample467.0ms

Algorithm

intervals

Results

122.0ms	27×	body	2560	valid
65.0ms	29×	body	640	valid
64.0ms	1×	body	10240	exit
50.0ms	53×	body	1280	valid
39.0ms	15×	body	320	valid
16.0ms	139×	body	80	valid
2.0ms	9×	body	160	valid

simplify226.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	114	14
5	136	14
6	142	14
done	142	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite140.0ms

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:

8.0ms	(* PI l)
22.0ms	(/ 1.0 (* F F))
88.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
17.0ms	(tan (* PI l))

series381.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* PI l)
45.0ms	(/ 1.0 (* F F))
193.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
112.0ms	(tan (* PI l))

simplify3.3s

Counts

89 → 89

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	135	872
1	305	854
2	1001	722
3	3970	722
done	5001	722

prune365.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

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)))
31.0b	(tan (* PI l))

rewrite74.0ms

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)
47.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
10.0ms	(tan (* PI l))

series394.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* PI l)
34.0ms	(* PI l)
255.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
68.0ms	(tan (* PI l))

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	133	893
1	294	874
2	793	798
3	2567	798
done	5000	789

prune458.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
0.2b	(* PI l)
0.2b	(* PI l)
31.0b	(tan (* PI l))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

40.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
16.0ms	(* PI l)
14.0ms	(* PI l)
8.0ms	(tan (* PI l))

series366.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
31.0ms	(* PI l)
29.0ms	(* PI l)
98.0ms	(tan (* PI l))

simplify1.9s

Counts

102 → 102

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	158	1496
1	426	1451
2	1712	1031
done	5001	899

prune392.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ F (tan (* PI l)))
1.0b	(/ (cbrt 1.0) (/ F (tan (* PI l))))
31.0b	(tan (* PI l))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

14.0ms	(* PI l)
18.0ms	(/ F (tan (* PI l)))
31.0ms	(/ (cbrt 1.0) (/ F (tan (* PI l))))
11.0ms	(tan (* PI l))

series537.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
182.0ms	(/ F (tan (* PI l)))
233.0ms	(/ (cbrt 1.0) (/ F (tan (* PI l))))
97.0ms	(tan (* PI l))

simplify1.8s

Counts

185 → 185

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	283	2976
1	572	2829
2	1710	2723
done	5000	2717

prune982.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.0b

regimes377.0ms

Accuracy

0% (0.4b remaining)

Error of 8.5b against oracle of 8.1b and baseline of 8.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	20	28
done	20	28

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.7s	843×	body	2560	valid
1.8s	1701×	body	1280	valid
486.0ms	923×	body	640	valid
453.0ms	4523×	body	80	valid
132.0ms	369×	body	320	valid
112.0ms	4×	body	10240	exit
51.0ms	221×	body	160	valid