Details

sample347.0ms

Algorithm

intervals

Results

109.0ms	55×	body	1280	valid
104.0ms	24×	body	2560	valid
24.0ms	33×	body	640	valid
22.0ms	134×	body	80	valid
10.0ms	16×	body	320	valid
3.0ms	9×	body	160	valid

simplify1.2s

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
31.3b	(tan (* PI l))

rewrite69.0ms

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:

6.0ms	(* PI l)
10.0ms	(* PI l)
32.0ms	(/ (tan (* PI l)) F)
19.0ms	(tan (* PI l))

series316.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
28.0ms	(* PI l)
147.0ms	(/ (tan (* PI l)) F)
101.0ms	(tan (* PI l))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
4	4322
3	1467
2	555
1	219
0	114

prune943.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
31.3b	(tan (* PI l))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`associate-r`
17×	`*-un-lft-identity` `add-exp-log`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac`
10×	`pow1`
9×	`associate-l`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
2×	`div-exp`
1×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `un-div-inv` `div-inv`

Counts

4 → 94

Calls

4 calls:

5.0ms	(* PI l)
9.0ms	(* PI l)
41.0ms	(* (tan (* PI l)) (/ 1 F))
17.0ms	(tan (* PI l))

series347.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
26.0ms	(* PI l)
187.0ms	(* (tan (* PI l)) (/ 1 F))
112.0ms	(tan (* PI l))

simplify5.6s

Counts

106 → 106

Iterations

Iter	Nodes
4	4701
3	1966
2	832
1	318
0	141

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.8b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.2b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite67.0ms

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:

20.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
44.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series126.0ms

Counts

4 → 8

Calls

4 calls:

41.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
86.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.3s

Counts

75 → 75

Iterations

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

prune970.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.8b

localize67.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.6b	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

rewrite70.0ms

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:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
66.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

series88.0ms

Counts

4 → 6

Calls

4 calls:

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

simplify5.5s

Counts

65 → 65

Iterations

Iter	Nodes
5	7791
4	1872
3	654
2	237
1	98
0	55

prune935.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 9.8b

regimes529.0ms

Accuracy

44.6% (2.3b remaining)

Error of 10.6b against oracle of 8.3b and baseline of 12.5b

bsearch4.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	28
1	28
0	24

end0.0ms

sample11.7s

Algorithm

intervals

Results

4.3s	803×	body	2560	valid
4.2s	1744×	body	1280	valid
1.2s	945×	body	640	valid
1.0s	4482×	body	80	valid
410.0ms	385×	body	320	valid
210.0ms	6×	body	10240	exit
108.0ms	222×	body	160	valid