Details

sample977.0ms

Algorithm

intervals

Results

412.0ms	48×	body	1280	valid
155.0ms	19×	body	2560	valid
58.0ms	130×	body	80	valid
45.0ms	42×	body	640	valid
11.0ms	15×	body	320	valid
4.0ms	11×	body	160	valid

simplify666.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	142
7	142
6	139
5	125
4	109
3	70
2	41
1	19
0	10

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize103.0ms

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))

rewrite270.0ms

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:

11.0ms	(* PI l)
21.0ms	(/ 1.0 (* F F))
173.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
40.0ms	(tan (* PI l))

series727.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
49.0ms	(/ 1.0 (* F F))
391.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
247.0ms	(tan (* PI l))

simplify4.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
2	1205
1	341
0	143

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.1b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

4 → 80

Calls

4 calls:

16.0ms	(* l PI)
127.0ms	(* PI l)
23.0ms	(/ (tan (* l PI)) F)
14.0ms	(tan (* l PI))

series497.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* l PI)
57.0ms	(* PI l)
209.0ms	(/ (tan (* l PI)) F)
176.0ms	(tan (* l PI))

simplify3.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5011
3	2204
2	718
1	272
0	133

prune860.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 11.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* l PI)
0.3b	(* PI l)
0.3b	(* (tan (* l PI)) (/ 1 F))
32.0b	(tan (* l PI))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

14.0ms	(* l PI)
15.0ms	(* PI l)
70.0ms	(* (tan (* l PI)) (/ 1 F))
17.0ms	(tan (* l PI))

series432.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* l PI)
43.0ms	(* PI l)
209.0ms	(* (tan (* l PI)) (/ 1 F))
131.0ms	(tan (* l PI))

simplify3.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5083
3	2764
2	965
1	378
0	159

prune1.0s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 11.0b

localize75.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
32.7b	(tan (* (* l (* (cbrt PI) (cbrt PI))) (cbrt PI)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`tan-quot` `pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt PI)
1.0ms	(cbrt PI)
22.0ms	(* (cbrt PI) (cbrt PI))
115.0ms	(tan (* (* l (* (cbrt PI) (cbrt PI))) (cbrt PI)))

series143.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
142.0ms	(tan (* (* l (* (cbrt PI) (cbrt PI))) (cbrt PI)))

simplify5.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	5003
4	3559
3	988
2	387
1	160
0	80

prune720.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 11.0b

regimes1.6s

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample12.0s

Algorithm

intervals

Results

5.4s	789×	body	2560	valid
3.6s	1613×	body	1280	valid
1.1s	1017×	body	640	valid
952.0ms	4623×	body	80	valid
231.0ms	394×	body	320	valid
118.0ms	3×	body	10240	exit
70.0ms	190×	body	160	valid