Details

sample758.0ms

Algorithm

intervals

Results

184.0ms	30×	body	2560	valid
112.0ms	56×	body	1280	valid
80.0ms	32×	body	640	valid
41.0ms	139×	body	80	valid
10.0ms	11×	body	320	valid
3.0ms	5×	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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
31.4b	(tan (* PI l))

rewrite78.0ms

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)
11.0ms	(* PI l)
12.0ms	(* PI l)
20.0ms	(tan (* PI l))

series307.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (tan (* PI l)) F)
39.0ms	(* PI l)
44.0ms	(* PI l)
90.0ms	(tan (* PI l))

simplify1.8s

Counts

88 → 88

Iterations

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

prune992.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.6b	(/ 1 (/ F (tan (* PI l))))
31.4b	(tan (* PI l))

rewrite64.0ms

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:

5.0ms	(* PI l)
7.0ms	(* PI l)
34.0ms	(/ 1 (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))

series289.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* PI l)
29.0ms	(* PI l)
146.0ms	(/ 1 (/ F (tan (* PI l))))
83.0ms	(tan (* PI l))

simplify3.7s

Counts

140 → 140

Iterations

Iter	Nodes
3	3208
2	1095
1	455
0	201

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
31.4b	(tan (* PI l))

rewrite49.0ms

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×	`cbrt-unprod` `insert-posit16` `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 → 86

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
29.0ms	(* (tan (* PI l)) (/ 1 F))
8.0ms	(tan (* PI l))

series301.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
35.0ms	(* PI l)
133.0ms	(* (tan (* PI l)) (/ 1 F))
104.0ms	(tan (* PI l))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
3	2228
2	839
1	309
0	135

prune921.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
31.4b	(tan (* PI l))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt F)
1.0ms	(cbrt F)
1.0ms	(cbrt F)
16.0ms	(tan (* PI l))

series963.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(cbrt F)
257.0ms	(cbrt F)
293.0ms	(cbrt F)
101.0ms	(tan (* PI l))

simplify4.6s

Counts

57 → 57

Iterations

Iter	Nodes
5	7984
4	1994
3	688
2	257
1	103
0	53

prune651.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.5b

regimes627.0ms

Accuracy

86.9% (0.5b remaining)

Error of 8.7b against oracle of 8.2b and baseline of 12.3b

bsearch4.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	26
1	26
0	21

end0.0ms

sample12.8s

Algorithm

intervals

Results

4.6s	811×	body	2560	valid
3.8s	1698×	body	1280	valid
1.3s	974×	body	640	valid
1.2s	401×	body	320	valid
1.2s	4511×	body	80	valid
178.0ms	199×	body	160	valid
173.0ms	5×	body	10240	exit