Details

sample756.0ms

Algorithm

intervals

Results

526.0ms	25×	body	2560	valid
74.0ms	60×	body	1280	valid
21.0ms	139×	body	80	valid
16.0ms	25×	body	640	valid
6.0ms	14×	body	320	valid
3.0ms	11×	body	160	valid

simplify182.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	142
7	142
6	139
5	125
4	109
3	70
2	41
1	19
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.7b	(tan (* PI l))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

11.0ms	(* PI l)
12.0ms	(/ 1.0 (* F F))
79.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
15.0ms	(tan (* PI l))

series407.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
35.0ms	(/ 1.0 (* F F))
210.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
138.0ms	(tan (* PI l))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1224
1	343
0	143

prune617.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 14.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
30.7b	(tan (* PI l))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
10×	`pow1` `sqrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
1×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 96

Calls

4 calls:

10.0ms	(* PI l)
10.0ms	(* PI l)
32.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
6.0ms	(tan (* PI l))

series389.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* PI l)
23.0ms	(* PI l)
249.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
80.0ms	(tan (* PI l))

simplify2.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	2961
2	915
1	317
0	138

prune823.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 14.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (tan (* PI l)))
0.3b	(* (/ (sqrt 1.0) F) (log1p (expm1 (tan (* PI l)))))
0.9b	(log1p (expm1 (tan (* PI l))))
30.7b	(tan (* PI l))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`associate-l`
20×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-prod`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-r` `unswap-sqr`
2×	`prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `div-exp` `pow-prod-down` `associate-l/` `tan-quot` `log1p-expm1` `-commutative` `div-inv` `expm1-udef`

Counts

4 → 76

Calls

4 calls:

1.0ms	(expm1 (tan (* PI l)))
30.0ms	(* (/ (sqrt 1.0) F) (log1p (expm1 (tan (* PI l)))))
0.0ms	(log1p (expm1 (tan (* PI l))))
17.0ms	(tan (* PI l))

series1.0s

Counts

4 → 12

Calls

4 calls:

108.0ms	(expm1 (tan (* PI l)))
325.0ms	(* (/ (sqrt 1.0) F) (log1p (expm1 (tan (* PI l)))))
494.0ms	(log1p (expm1 (tan (* PI l))))
96.0ms	(tan (* PI l))

simplify2.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5013
3	3325
2	846
1	321
0	139

prune673.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.4b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.3b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite65.0ms

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` `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 → 63

Calls

4 calls:

32.0ms	(* (sqrt PI) (* (sqrt PI) l))
7.0ms	(sqrt PI)
2.0ms	(sqrt PI)
23.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series123.0ms

Counts

4 → 8

Calls

4 calls:

30.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
93.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify3.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5107
4	3032
3	1160
2	448
1	162
0	76

prune501.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 14.4b

regimes1.2s

Accuracy

0% (0.4b remaining)

Error of 12.9b against oracle of 12.5b and baseline of 12.9b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.0s	819×	body	2560	valid
2.8s	1740×	body	1280	valid
868.0ms	4476×	body	80	valid
686.0ms	940×	body	640	valid
522.0ms	235×	body	160	valid
245.0ms	413×	body	320	valid
124.0ms	4×	body	10240	exit