Details

sample553.0ms

Algorithm

intervals

Results

159.0ms	130×	body	80	valid
116.0ms	19×	body	2560	valid
78.0ms	48×	body	1280	valid
40.0ms	42×	body	640	valid
9.0ms	15×	body	320	valid
4.0ms	11×	body	160	valid

simplify282.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	136
7	136
6	133
5	119
4	103
3	64
2	39
1	18
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.7b	(/ 1.0 (* F F))
4.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite148.0ms

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)
16.0ms	(/ 1.0 (* F F))
95.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
16.0ms	(tan (* PI l))

series487.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
47.0ms	(/ 1.0 (* F F))
254.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
147.0ms	(tan (* PI l))

simplify3.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5009
2	1181
1	326
0	135

prune835.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.1b

localize55.0ms

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)))
32.0b	(tan (* PI l))

rewrite133.0ms

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×	`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:

18.0ms	(* PI l)
14.0ms	(* PI l)
78.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
17.0ms	(tan (* PI l))

series539.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
45.0ms	(* PI l)
333.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
122.0ms	(tan (* PI l))

simplify3.9s

Counts

100 → 100

Iterations

Iter	Nodes
done	5004
3	2884
2	903
1	308
0	134

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
32.0b	(tan (* PI l))

rewrite103.0ms

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:

14.0ms	(* PI l)
14.0ms	(* PI l)
55.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
17.0ms	(tan (* PI l))

series523.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
38.0ms	(* PI l)
322.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
124.0ms	(tan (* PI l))

simplify4.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5008
3	3470
2	891
1	272
0	113

prune776.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
32.4b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 41

Calls

4 calls:

2.0ms	(cbrt l)
2.0ms	(cbrt l)
2.0ms	(cbrt l)
107.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series1.3s

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt l)
395.0ms	(cbrt l)
359.0ms	(cbrt l)
159.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify4.3s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
4	3256
3	814
2	280
1	113
0	54

prune535.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 11.0b

regimes1.7s

Accuracy

0% (0.5b remaining)

Error of 12.6b against oracle of 12.0b and baseline of 12.6b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample12.4s

Algorithm

intervals

Results

5.7s	789×	body	2560	valid
3.8s	1613×	body	1280	valid
1.1s	1017×	body	640	valid
941.0ms	4623×	body	80	valid
311.0ms	394×	body	320	valid
124.0ms	3×	body	10240	exit
73.0ms	190×	body	160	valid