Details

sample482.0ms

Algorithm

intervals

Results

163.0ms	57×	body	1280	valid
115.0ms	22×	body	2560	valid
42.0ms	1×	body	10240	exit
31.0ms	156×	body	80	valid
30.0ms	27×	body	640	valid
8.0ms	10×	body	320	valid
5.0ms	11×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
11	939
10	939
9	887
8	713
7	493
6	401
5	274
4	144
3	85
2	41
1	18
0	10

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
30.4b	(tan (* PI l))

rewrite66.0ms

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×	`insert-posit16` `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 → 76

Calls

4 calls:

22.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
11.0ms	(* PI l)
19.0ms	(tan (* PI l))

series365.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (tan (* PI l)) F)
27.0ms	(* PI l)
38.0ms	(* PI l)
133.0ms	(tan (* PI l))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
4	4421
3	1440
2	539
1	211
0	108

prune941.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.8b	(/ 1 (/ F (tan (* PI l))))
30.4b	(tan (* PI l))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 128

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
34.0ms	(/ 1 (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))

series355.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
26.0ms	(* PI l)
204.0ms	(/ 1 (/ F (tan (* PI l))))
93.0ms	(tan (* PI l))

simplify3.8s

Counts

140 → 140

Iterations

Iter	Nodes
3	3208
2	1095
1	455
0	201

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.2b

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)
30.2b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite69.0ms

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×	`insert-posit16` `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 → 59

Calls

4 calls:

20.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
46.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series153.0ms

Counts

4 → 8

Calls

4 calls:

31.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
123.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.4s

Counts

67 → 67

Iterations

Iter	Nodes
4	3579
3	1189
2	418
1	153
0	73

prune770.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 10.2b

localize33.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.7b	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(sqrt PI)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
63.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

series120.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
120.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

simplify4.5s

Counts

57 → 57

Iterations

Iter	Nodes
5	7623
4	1696
3	574
2	222
1	92
0	51

prune679.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 10.2b

regimes557.0ms

Accuracy

48.2% (2.0b remaining)

Error of 9.9b against oracle of 7.9b and baseline of 11.8b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	25
1	25
0	22

end0.0ms

sample11.8s

Algorithm

intervals

Results

4.3s	750×	body	2560	valid
3.2s	1659×	body	1280	valid
1.9s	4590×	body	80	valid
1.2s	937×	body	640	valid
793.0ms	465×	body	320	valid
127.0ms	4×	body	10240	exit
114.0ms	218×	body	160	valid