Details

sample290.0ms

Algorithm

intervals

Results

121.0ms	19×	body	2560	valid
62.0ms	62×	body	1280	valid
17.0ms	135×	body	80	valid
15.0ms	32×	body	640	valid
10.0ms	15×	body	320	valid
2.0ms	9×	body	160	valid

simplify222.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

8.0ms	(* PI l)
7.0ms	(* PI l)
93.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(tan (* PI l))

series367.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* PI l)
22.0ms	(* PI l)
201.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
112.0ms	(tan (* PI l))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	124	790
1	288	768
2	968	658
3	3965	658
done	5001	658

prune305.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite129.0ms

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:

14.0ms	(* PI l)
15.0ms	(* PI l)
82.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
14.0ms	(tan (* PI l))

series407.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
30.0ms	(* PI l)
271.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
85.0ms	(tan (* PI l))

simplify2.5s

Counts

100 → 100

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	133	893
1	294	874
2	793	798
3	2567	798
done	5000	789

prune624.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
31.2b	(tan (* PI l))

rewrite78.0ms

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:

42.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
12.0ms	(* PI l)
12.0ms	(* PI l)
8.0ms	(tan (* PI l))

series444.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
25.0ms	(* PI l)
39.0ms	(* PI l)
126.0ms	(tan (* PI l))

simplify2.8s

Counts

78 → 78

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	111	648
1	254	627
2	800	553
3	3478	553
done	5000	549

prune414.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.4b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 55

Calls

4 calls:

33.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
33.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series172.0ms

Counts

4 → 8

Calls

4 calls:

48.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
124.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify5.2s

Counts

63 → 63

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	70	478
1	151	321
2	418	287
3	1099	287
4	3880	287
done	5001	287

prune233.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 11.8b

regimes667.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	30
1	23	30
done	23	30

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.4s	801×	body	2560	valid
2.9s	1711×	body	1280	valid
1.2s	4522×	body	80	valid
713.0ms	888×	body	640	valid
259.0ms	429×	body	320	valid
166.0ms	5×	body	10240	exit
65.0ms	199×	body	160	valid