Details

sample466.0ms

Algorithm

intervals

Results

95.0ms	21×	body	2560	valid
55.0ms	47×	body	1280	valid
25.0ms	157×	body	80	valid
24.0ms	1×	body	10240	exit
17.0ms	26×	body	640	valid
6.0ms	12×	body	320	valid
3.0ms	11×	body	160	valid

simplify202.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	126	14
5	152	14
6	162	14
7	164	14
done	164	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `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` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* PI l)
9.0ms	(/ 1.0 (* F F))
56.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series333.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
41.0ms	(/ 1.0 (* F F))
184.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
85.0ms	(tan (* PI l))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: 2 (343.0ms)

Iter	Nodes	Cost
0	143	924
1	350	903
2	1911	789
done	5001	789

prune606.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.8b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
27.2b	(tan (* PI l))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
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×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 96

Calls

4 calls:

13.0ms	(* PI l)
14.0ms	(* PI l)
87.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
17.0ms	(tan (* PI l))

series391.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
23.0ms	(* PI l)
228.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
100.0ms	(tan (* PI l))

simplify983.0ms

Counts

108 → 108

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	140	946
1	317	921
2	1306	854
done	5001	840

prune685.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.2b	(tan (* PI l))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

49.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
14.0ms	(* PI l)
15.0ms	(* PI l)
24.0ms	(tan (* PI l))

series367.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
28.0ms	(* PI l)
29.0ms	(* PI l)
104.0ms	(tan (* PI l))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	701
1	283	673
2	1207	601
done	5000	594

prune665.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.5b	(/ 1 (/ F (* (sqrt 1.0) (tan (* PI l)))))
27.2b	(tan (* PI l))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
29×	`add-exp-log` `add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-cbrt-cube`
12×	`div-exp`
9×	`pow1`
8×	`associate-/r*`
6×	`associate-r` `associate-l`
5×	`tan-quot` `cbrt-undiv` `prod-exp` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `cbrt-unprod` `associate-/l*`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 112

Calls

4 calls:

14.0ms	(* PI l)
14.0ms	(* PI l)
70.0ms	(/ 1 (/ F (* (sqrt 1.0) (tan (* PI l)))))
9.0ms	(tan (* PI l))

series482.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
33.0ms	(* PI l)
295.0ms	(/ 1 (/ F (* (sqrt 1.0) (tan (* PI l)))))
131.0ms	(tan (* PI l))

simplify1.0s

Counts

124 → 124

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	185	1412
1	444	1257
2	1797	1170
done	5000	1164

prune656.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.6b

regimes812.0ms

Accuracy

0% (0.4b remaining)

Error of 12.8b against oracle of 12.4b and baseline of 12.8b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	24
1	24	24
done	24	24

end0.0ms

sample9.7s

Algorithm

intervals

Results

4.1s	807×	body	2560	valid
2.7s	1694×	body	1280	valid
1.5s	986×	body	640	valid
590.0ms	4555×	body	80	valid
273.0ms	388×	body	320	valid
161.0ms	5×	body	10240	exit
55.0ms	187×	body	160	valid