Details

sample410.0ms

Algorithm

intervals

Results

93.0ms	29×	body	2560	valid
33.0ms	47×	body	1280	valid
12.0ms	161×	body	80	valid
8.0ms	24×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	8×	body	160	valid

simplify108.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	40	14
3	79	14
4	116	14
5	138	14
6	147	14
7	149	14
done	149	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.6b	(/ 1.0 (* F F))
5.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
27.7b	(tan (* PI l))

rewrite28.0ms

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:

3.0ms	(* PI l)
3.0ms	(/ 1.0 (* F F))
16.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series261.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(/ 1.0 (* F F))
139.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
78.0ms	(tan (* PI l))

simplify587.0ms

Counts

97 → 97

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	143	924
1	330	903
2	1217	771
done	5001	771

prune248.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
27.7b	(tan (* PI l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
14.0ms	(* (/ 1.0 F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series233.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
19.0ms	(* PI l)
131.0ms	(* (/ 1.0 F) (tan (* PI l)))
62.0ms	(tan (* PI l))

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	131	780
1	288	758
2	860	680
3	2791	680
done	5000	680

prune293.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 12.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
27.7b	(tan (* PI l))

rewrite18.0ms

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:

5.0ms	(/ (* 1.0 (tan (* PI l))) F)
3.0ms	(* PI l)
3.0ms	(* PI l)
2.0ms	(tan (* PI l))

series220.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ (* 1.0 (tan (* PI l))) F)
20.0ms	(* PI l)
25.0ms	(* PI l)
63.0ms	(tan (* PI l))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	118	664
1	260	639
2	825	563
3	3281	563
done	5001	563

prune259.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.7b	(/ 1 (/ F (* 1.0 (tan (* PI l)))))
27.7b	(tan (* PI l))

rewrite21.0ms

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:

3.0ms	(* PI l)
3.0ms	(* PI l)
10.0ms	(/ 1 (/ F (* 1.0 (tan (* PI l)))))
2.0ms	(tan (* PI l))

series236.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
24.0ms	(* PI l)
125.0ms	(/ 1 (/ F (* 1.0 (tan (* PI l)))))
67.0ms	(tan (* PI l))

simplify1.7s

Counts

124 → 124

Iterations

Useful iterations: 3 (640.0ms)

Iter	Nodes	Cost
0	184	1330
1	407	1178
2	1091	1024
3	4276	998
done	5000	998

prune239.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.2b

regimes394.0ms

Accuracy

0% (0.4b remaining)

Error of 12.8b against oracle of 12.5b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	22	20
done	22	20

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	859×	body	2560	valid
1.2s	1641×	body	1280	valid
329.0ms	933×	body	640	valid
320.0ms	4518×	body	80	valid
94.0ms	4×	body	10240	exit
87.0ms	388×	body	320	valid
45.0ms	256×	body	160	valid