Details

sample437.0ms

Algorithm

intervals

Results

125.0ms	21×	body	2560	valid
95.0ms	64×	body	1280	valid
74.0ms	147×	body	80	valid
42.0ms	1×	body	10240	exit
19.0ms	23×	body	640	valid
7.0ms	13×	body	320	valid
3.0ms	8×	body	160	valid

simplify174.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	114	14
5	136	14
6	142	14
done	142	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
4.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite110.0ms

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` `div-exp` `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 → 77

Calls

4 calls:

14.0ms	(* PI l)
9.0ms	(/ 1.0 (* F F))
70.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series392.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
53.0ms	(/ 1.0 (* F F))
209.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
98.0ms	(tan (* PI l))

simplify3.0s

Counts

89 → 89

Iterations

Useful iterations: 2 (263.0ms)

Iter	Nodes	Cost
0	135	872
1	305	854
2	1001	722
3	3970	722
done	5001	722

prune342.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
0.3b	(* (/ 1.0 F) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`associate-l`
28×	`add-sqr-sqrt`
23×	`prod-exp`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`pow1` `cbrt-unprod`
11×	`div-exp`
7×	`tan-quot` `associate-r`
6×	`cbrt-undiv` `frac-times` `associate-*r/`
5×	`pow-prod-down`
4×	`associate-*l/` `add-log-exp`
3×	`rec-exp` `1-exp` `*-commutative` `unswap-sqr`
2×	`div-inv`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* PI l)
126.0ms	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
46.0ms	(* (/ 1.0 F) (tan (* PI l)))
24.0ms	(tan (* PI l))

series500.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
193.0ms	(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
191.0ms	(* (/ 1.0 F) (tan (* PI l)))
76.0ms	(tan (* PI l))

simplify2.3s

Counts

121 → 121

Iterations

Useful iterations: 2 (498.0ms)

Iter	Nodes	Cost
0	203	1510
1	492	1370
2	1672	1134
done	5001	1134

prune460.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* (/ 1 F) (/ (* 1.0 (tan (* PI l))) F))
0.2b	(/ (* 1.0 (tan (* PI l))) F)
30.3b	(tan (* PI l))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-exp`
17×	`add-cube-cbrt` `times-frac`
16×	`div-exp` `associate-l`
10×	`associate-r` `cbrt-unprod`
9×	`cbrt-undiv`
8×	`pow1`
4×	`add-log-exp` `unswap-sqr`
3×	`rec-exp` `1-exp` `associate-/r*` `div-inv`
2×	`tan-quot` `associate-r/` `pow-prod-down` `-commutative`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/l/` `associate-/l`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* PI l)
33.0ms	(* (/ 1 F) (/ (* 1.0 (tan (* PI l))) F))
20.0ms	(/ (* 1.0 (tan (* PI l))) F)
8.0ms	(tan (* PI l))

series517.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
206.0ms	(* (/ 1 F) (/ (* 1.0 (tan (* PI l))) F))
181.0ms	(/ (* 1.0 (tan (* PI l))) F)
88.0ms	(tan (* PI l))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 2 (522.0ms)

Iter	Nodes	Cost
0	193	1484
1	474	1340
2	1701	1094
done	5001	1094

prune502.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (* 1.0 (tan (* PI l))) F)
30.3b	(tan (* PI l))

rewrite80.0ms

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×	`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 → 66

Calls

4 calls:

7.0ms	(* PI l)
13.0ms	(* PI l)
42.0ms	(/ (* 1.0 (tan (* PI l))) F)
18.0ms	(tan (* PI l))

series394.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
36.0ms	(* PI l)
215.0ms	(/ (* 1.0 (tan (* PI l))) F)
111.0ms	(tan (* PI l))

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	112	620
1	248	599
2	762	523
3	3009	523
done	5000	523

prune271.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.8b

regimes528.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	21	27
done	21	27

end0.0ms

sample10.4s

Algorithm

intervals

Results

5.0s	830×	body	2560	valid
2.8s	1701×	body	1280	valid
1.2s	975×	body	640	valid
599.0ms	4480×	body	80	valid
229.0ms	7×	body	10240	exit
161.0ms	370×	body	320	valid
70.0ms	218×	body	160	valid