Details

sample62.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
10.0ms	211×	body	80	valid
8.0ms	37×	body	640	valid
6.0ms	31×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

52.0ms

(* (exp re) (cos im))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (exp re) (cos im))

simplify7.5s

Counts

21 → 21

Iterations

Useful iterations: 2 (2.0s)

Iter	Nodes	Cost
0	38	157
1	161	153
2	2462	134
done	5000	134

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
0.0b	(* (sqrt (exp re)) (cos im))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
69.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
19.0ms	(* (sqrt (exp re)) (cos im))

series157.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))
61.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
64.0ms	(* (sqrt (exp re)) (cos im))

simplify11.3s

Counts

87 → 87

Iterations

Useful iterations: done (11.3s)

Iter	Nodes	Cost
0	75	723
1	306	578
2	4612	516
done	5000	513

prune273.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
0.0b	(cbrt (sqrt (exp re)))
0.0b	(cbrt (sqrt (exp re)))
0.0b	(cbrt (sqrt (exp re)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

26.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
3.0ms	(cbrt (sqrt (exp re)))
3.0ms	(cbrt (sqrt (exp re)))
3.0ms	(cbrt (sqrt (exp re)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
133.0ms	(cbrt (sqrt (exp re)))
111.0ms	(cbrt (sqrt (exp re)))
95.0ms	(cbrt (sqrt (exp re)))

simplify5.3s

Counts

110 → 110

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	74	1190
1	375	1071
done	5000	874

prune535.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (sqrt (exp re)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
41×	`sqrt-prod`
30×	`cbrt-prod`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
14×	`sqrt-pow1`
11×	`swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
8×	`pow1/2`
6×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`pow-prod-down` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

38.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))
4.0ms	(cbrt (exp re))
5.0ms	(cbrt (exp re))
6.0ms	(cbrt (sqrt (exp re)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))
107.0ms	(cbrt (exp re))
122.0ms	(cbrt (exp re))
121.0ms	(cbrt (sqrt (exp re)))

simplify8.6s

Counts

114 → 114

Iterations

Useful iterations: done (8.6s)

Iter	Nodes	Cost
0	101	1171
done	5000	826

prune509.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

889.0ms	6894×	body	80	valid
724.0ms	1538×	body	1280	valid
468.0ms	1222×	body	640	valid
108.0ms	635×	body	320	valid
38.0ms	326×	body	160	valid