Details

sample1.1s

Algorithm

intervals

Results

498.0ms	139×	body	80	valid
213.0ms	25×	body	2560	valid
123.0ms	60×	body	1280	valid
20.0ms	25×	body	640	valid
6.0ms	14×	body	320	valid
4.0ms	11×	body	160	valid

simplify200.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	136
7	136
6	133
5	119
4	103
3	64
2	39
1	18
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.7b	(tan (* PI l))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
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` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/`

Counts

4 → 77

Calls

4 calls:

9.0ms	(* PI l)
11.0ms	(/ 1.0 (* F F))
75.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
7.0ms	(tan (* PI l))

series416.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
53.0ms	(/ 1.0 (* F F))
198.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
142.0ms	(tan (* PI l))

simplify1.6s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1162
1	328
0	135

prune579.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 14.5b

localize34.0ms

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)))
30.7b	(tan (* PI l))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
10×	`pow1` `sqrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
1×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 88

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
55.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
6.0ms	(tan (* PI l))

series425.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
41.0ms	(* PI l)
232.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
115.0ms	(tan (* PI l))

simplify2.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	2930
2	905
1	307
0	132

prune787.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 14.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.3b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 55

Calls

4 calls:

38.0ms	(* (sqrt PI) (* (sqrt PI) l))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
33.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series132.0ms

Counts

4 → 8

Calls

4 calls:

42.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
89.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify3.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5049
4	2808
3	1068
2	420
1	154
0	70

prune548.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.4b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(sqrt PI)
30.3b	(tan (* (sqrt (* (cbrt PI) (cbrt PI))) (* (sqrt (cbrt PI)) (* (sqrt PI) l))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sqrt-prod`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `tan-quot`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt PI)
1.0ms	(cbrt PI)
2.0ms	(sqrt PI)
114.0ms	(tan (* (sqrt (* (cbrt PI) (cbrt PI))) (* (sqrt (cbrt PI)) (* (sqrt PI) l))))

series104.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(sqrt PI)
104.0ms	(tan (* (sqrt (* (cbrt PI) (cbrt PI))) (* (sqrt (cbrt PI)) (* (sqrt PI) l))))

simplify1.9s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
4	2184
3	681
2	235
1	103
0	56

prune479.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 14.4b

regimes1.3s

Accuracy

0% (0.3b remaining)

Error of 12.9b against oracle of 12.6b and baseline of 12.9b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.6s	819×	body	2560	valid
2.5s	1740×	body	1280	valid
760.0ms	4476×	body	80	valid
727.0ms	940×	body	640	valid
538.0ms	413×	body	320	valid
119.0ms	4×	body	10240	exit
67.0ms	235×	body	160	valid