Details

sample636.0ms

Algorithm

intervals

Results

229.0ms	32×	body	2560	valid
86.0ms	54×	body	1280	valid
44.0ms	1×	body	10240	exit
36.0ms	144×	body	80	valid
27.0ms	21×	body	640	valid
11.0ms	17×	body	320	valid
2.0ms	3×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
12	974
11	974
10	972
9	868
8	710
7	513
6	412
5	279
4	149
3	90
2	43
1	19
0	10

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
29.4b	(tan (* PI l))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `prod-exp` `tan-quot` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

4 → 84

Calls

4 calls:

12.0ms	(/ (tan (* PI l)) F)
12.0ms	(* PI l)
8.0ms	(* PI l)
19.0ms	(tan (* PI l))

series324.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ (tan (* PI l)) F)
42.0ms	(* PI l)
30.0ms	(* PI l)
108.0ms	(tan (* PI l))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
4	4376
3	1479
2	556
1	219
0	114

prune834.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
29.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite105.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 67

Calls

4 calls:

44.0ms	(* (sqrt PI) (* (sqrt PI) l))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
55.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series132.0ms

Counts

4 → 8

Calls

4 calls:

44.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
88.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.2s

Counts

75 → 75

Iterations

Iter	Nodes
4	3821
3	1244
2	428
1	160
0	79

prune758.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.0b

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
29.7b	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot`

Counts

4 → 59

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
137.0ms	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

series122.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
122.0ms	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

simplify4.9s

Counts

65 → 65

Iterations

Iter	Nodes
5	7932
4	1834
3	639
2	230
1	99
0	55

prune740.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
29.7b	(tan (* (sqrt (fabs (sqrt PI))) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot`

Counts

4 → 59

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
98.0ms	(tan (* (sqrt (fabs (sqrt PI))) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

series886.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
885.0ms	(tan (* (sqrt (fabs (sqrt PI))) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

simplify1.4s

Counts

65 → 65

Iterations

Iter	Nodes
4	3203
3	1028
2	354
1	145
0	71

prune797.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.0b

regimes937.0ms

Accuracy

86.6% (0.6b remaining)

Error of 9.0b against oracle of 8.4b and baseline of 12.7b

bsearch3.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	26
1	26
0	22

end0.0ms

sample12.6s

Algorithm

intervals

Results

4.6s	814×	body	2560	valid
3.9s	1732×	body	1280	valid
1.6s	4532×	body	80	valid
1.5s	915×	body	640	valid
366.0ms	401×	body	320	valid
286.0ms	8×	body	10240	exit
145.0ms	217×	body	160	valid