Details

sample480.0ms

Algorithm

intervals

Results

107.0ms	26×	body	2560	valid
37.0ms	54×	body	1280	valid
11.0ms	146×	body	80	valid
10.0ms	31×	body	640	valid
3.0ms	12×	body	320	valid
1.0ms	4×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	7
done	144	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.8b	(tan (* PI l))

rewrite78.0ms

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:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
50.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series255.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
131.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
77.0ms	(tan (* PI l))

simplify40.0ms

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	323	443
1	1416	374
2	5001	374
done	5001	374

prune219.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
29.8b	(tan (* PI l))

rewrite65.0ms

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` `add-cbrt-cube`
10×	`pow1` `sqrt-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)
40.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series265.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
22.0ms	(* PI l)
160.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
63.0ms	(tan (* PI l))

simplify95.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	297	498
1	1061	455
2	4012	454
3	5002	454
done	5002	454

prune298.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
29.8b	(tan (* PI l))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

23.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
7.0ms	(* PI l)
9.0ms	(* PI l)
8.0ms	(tan (* PI l))

series264.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
20.0ms	(* PI l)
20.0ms	(* PI l)
63.0ms	(tan (* PI l))

simplify31.0ms

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	258	339
1	1081	299
2	5001	299
done	5001	299

prune240.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
29.8b	(tan (* PI l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

1.0ms	(cbrt F)
1.0ms	(cbrt F)
1.0ms	(cbrt F)
8.0ms	(tan (* PI l))

series582.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt F)
174.0ms	(cbrt F)
171.0ms	(cbrt F)
63.0ms	(tan (* PI l))

simplify112.0ms

Counts

53 → 53

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	97	172
1	231	158
2	774	152
3	3506	152
4	5002	152
done	5002	152

prune242.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 11.2b

regimes406.0ms

Accuracy

0% (0.5b remaining)

Error of 12.6b against oracle of 12.2b and baseline of 12.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	21
1	24	21
done	24	21

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.5s	810×	body	2560	valid
1.2s	1666×	body	1280	valid
322.0ms	952×	body	640	valid
300.0ms	4610×	body	80	valid
93.0ms	4×	body	10240	exit
83.0ms	359×	body	320	valid
30.0ms	199×	body	160	valid