Details

sample507.0ms

Algorithm

intervals

Results

83.0ms	27×	body	2560	valid
35.0ms	53×	body	1280	valid
25.0ms	1×	body	10240	exit
21.0ms	9×	body	160	valid
11.0ms	139×	body	80	valid
11.0ms	29×	body	640	valid
3.0ms	15×	body	320	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	7
done	144	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite74.0ms

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:

6.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
48.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series252.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
129.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
75.0ms	(tan (* PI l))

simplify41.0ms

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	323	443
1	1416	374
2	5001	374
done	5001	374

prune225.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 11.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite61.0ms

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`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

7.0ms	(* PI l)
7.0ms	(* PI l)
37.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series268.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
22.0ms	(* PI l)
161.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
64.0ms	(tan (* PI l))

simplify92.0ms

Counts

100 → 100

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	294	496
1	1023	455
2	3911	454
3	5001	451
done	5001	451

prune336.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
0.2b	(* PI l)
0.2b	(* PI l)
31.0b	(tan (* PI l))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
35×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
17×	`prod-exp` `cbrt-unprod`
13×	`associate-r` `associate-l`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
10×	`pow1`
7×	`times-frac`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `*-commutative`
2×	`div-inv`
1×	`tan-quot` `frac-times` `associate-r/` `associate-l/`

Counts

4 → 90

Calls

4 calls:

41.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
6.0ms	(* PI l)
7.0ms	(* PI l)
8.0ms	(tan (* PI l))

series276.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
20.0ms	(* PI l)
23.0ms	(* PI l)
61.0ms	(tan (* PI l))

simplify59.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	455	838
1	2454	658
2	5002	576
done	5002	576

prune283.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.2b	(* PI l)
0.2b	(* PI l)
31.0b	(tan (* PI l))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log`
12×	`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:

20.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
6.0ms	(* PI l)
7.0ms	(* PI l)
8.0ms	(tan (* PI l))

series268.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
23.0ms	(* PI l)
20.0ms	(* PI l)
63.0ms	(tan (* PI l))

simplify125.0ms

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	254	340
1	1034	299
2	4729	299
3	5002	299
done	5002	299

prune207.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.5b

regimes331.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8
done	16	8

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.6s	843×	body	2560	valid
1.2s	1701×	body	1280	valid
341.0ms	923×	body	640	valid
293.0ms	4523×	body	80	valid
93.0ms	4×	body	10240	exit
88.0ms	369×	body	320	valid
34.0ms	221×	body	160	valid