Details

sample507.0ms

Algorithm

intervals

Results

104.0ms	27×	body	2560	valid
35.0ms	53×	body	1280	valid
24.0ms	1×	body	10240	exit
11.0ms	139×	body	80	valid
10.0ms	29×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7
done	159	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize13.0ms

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))

rewrite75.0ms

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)
8.0ms	(/ 1.0 (* F F))
48.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series260.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
26.0ms	(/ 1.0 (* F F))
131.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
79.0ms	(tan (* PI l))

simplify42.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398
done	5001	398

prune243.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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×	`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)
7.0ms	(* PI l)
39.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series273.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
19.0ms	(* PI l)
168.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
65.0ms	(tan (* PI l))

simplify100.0ms

Counts

108 → 108

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	305	522
1	1082	478
2	4101	476
3	5001	475
done	5001	475

prune328.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
28×	`associate-l`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
9×	`sqrt-prod`
7×	`associate-r`
5×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r/` `-commutative`
2×	`unswap-sqr`
1×	`tan-quot` `frac-times` `associate-*l/` `div-inv`

Counts

4 → 100

Calls

4 calls:

43.0ms	(* (/ (sqrt 1.0) F) (* (sqrt 1.0) (/ (tan (* PI l)) F)))
6.0ms	(* PI l)
7.0ms	(* PI l)
8.0ms	(tan (* PI l))

series319.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (/ (sqrt 1.0) F) (* (sqrt 1.0) (/ (tan (* PI l)) F)))
20.0ms	(* PI l)
21.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify48.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	423	678
1	1944	536
2	5001	535
done	5001	535

prune307.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.5b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

4 calls:

19.0ms	(/ (* 1.0 (tan (* PI l))) F)
6.0ms	(* PI l)
10.0ms	(* PI l)
8.0ms	(tan (* PI l))

series216.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ (* 1.0 (tan (* PI l))) F)
20.0ms	(* PI l)
20.0ms	(* PI l)
65.0ms	(tan (* PI l))

simplify106.0ms

Counts

86 → 86

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	258	332
1	1047	292
2	4498	291
3	5001	290
done	5001	290

prune193.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.4b

regimes348.0ms

Accuracy

0% (0.4b 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	19	13
1	19	13
done	19	13

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	843×	body	2560	valid
1.2s	1701×	body	1280	valid
330.0ms	923×	body	640	valid
302.0ms	4523×	body	80	valid
93.0ms	4×	body	10240	exit
88.0ms	369×	body	320	valid
35.0ms	221×	body	160	valid