Details

sample524.0ms

Algorithm

intervals

Results

170.0ms	52×	body	1280	valid
153.0ms	24×	body	2560	valid
43.0ms	37×	body	640	valid
35.0ms	140×	body	80	valid
35.0ms	1×	body	10240	exit
14.0ms	15×	body	320	valid
5.0ms	9×	body	160	valid

simplify1.4s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
31.5b	(tan (* PI l))

rewrite82.0ms

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:

11.0ms	(* PI l)
11.0ms	(* PI l)
25.0ms	(/ (tan (* PI l)) F)
31.0ms	(tan (* PI l))

series321.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
32.0ms	(* PI l)
146.0ms	(/ (tan (* PI l)) F)
117.0ms	(tan (* PI l))

simplify1.9s

Counts

96 → 96

Iterations

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

prune466.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ F (tan (* PI l)))
0.2b	(* PI l)
0.2b	(* PI l)
31.5b	(tan (* PI l))

rewrite64.0ms

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` `associate-/r/` `div-inv`

Counts

4 → 84

Calls

4 calls:

17.0ms	(/ F (tan (* PI l)))
11.0ms	(* PI l)
11.0ms	(* PI l)
23.0ms	(tan (* PI l))

series395.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(/ F (tan (* PI l)))
37.0ms	(* PI l)
23.0ms	(* PI l)
120.0ms	(tan (* PI l))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
4	3214
3	1148
2	467
1	208
0	112

prune407.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ 1 (fma -1/3 (* (* PI l) F) (/ F (* PI l))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `inv-pow`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* PI l)
6.0ms	(* PI l)
6.0ms	(* PI l)
5.0ms	(/ 1 (fma -1/3 (* (* PI l) F) (/ F (* PI l))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
41.0ms	(* PI l)
44.0ms	(* PI l)
145.0ms	(/ 1 (fma -1/3 (* (* PI l) F) (/ F (* PI l))))

simplify3.0s

Counts

109 → 109

Iterations

Iter	Nodes
4	6726
3	1650
2	523
1	222
0	112

prune440.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(* PI l)
3.7b	(log (exp (* PI l)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r` `associate-l`
5×	`add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 80

Calls

4 calls:

14.0ms	(* PI l)
10.0ms	(* PI l)
6.0ms	(* PI l)
4.0ms	(log (exp (* PI l)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* PI l)
23.0ms	(* PI l)
28.0ms	(* PI l)
23.0ms	(log (exp (* PI l)))

simplify2.2s

Counts

92 → 92

Iterations

Iter	Nodes
6	3354
5	832
4	292
3	180
2	134
1	82
0	53

prune464.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes270.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample12.7s

Algorithm

intervals

Results

5.1s	806×	body	2560	valid
3.6s	1657×	body	1280	valid
1.8s	994×	body	640	valid
1.2s	4499×	body	80	valid
342.0ms	398×	body	320	valid
272.0ms	221×	body	160	valid
143.0ms	5×	body	10240	exit