Details

sample82.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
13.0ms	211×	body	80	valid
12.0ms	37×	body	640	valid
7.0ms	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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

19.0ms

(* (exp re) (cos im))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(* (exp re) (cos im))

simplify2.5s

Counts

21 → 21

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	38	157
1	79	153
2	208	134
3	334	134
4	470	134
5	849	134
6	2152	134
done	5000	134

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite81.0ms

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))
54.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
19.0ms	(* (sqrt (exp re)) (cos im))

series168.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
66.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
74.0ms	(* (sqrt (exp re)) (cos im))

simplify5.3s

Counts

87 → 87

Iterations

Useful iterations: 3 (476.0ms)

Iter	Nodes	Cost
0	75	723
1	151	578
2	428	526
3	829	513
4	1108	513
5	2479	513
done	5000	513

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

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)))

rewrite68.0ms

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:

41.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
6.0ms	(cbrt (sqrt (exp re)))
6.0ms	(cbrt (sqrt (exp re)))
7.0ms	(cbrt (sqrt (exp re)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
108.0ms	(cbrt (sqrt (exp re)))
103.0ms	(cbrt (sqrt (exp re)))
149.0ms	(cbrt (sqrt (exp re)))

simplify1.7s

Counts

110 → 110

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	74	1190
1	123	1071
2	277	1013
3	520	936
4	1054	854
done	5000	832

prune418.0ms

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)))

rewrite72.0ms

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:

53.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))
4.0ms	(cbrt (exp re))
4.0ms	(cbrt (exp re))
6.0ms	(cbrt (sqrt (exp re)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re))))
137.0ms	(cbrt (exp re))
125.0ms	(cbrt (exp re))
121.0ms	(cbrt (sqrt (exp re)))

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	101	1171
1	160	793
2	337	739
3	594	691
4	1349	657
done	5000	653

prune444.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.8s

Algorithm

intervals

Results

954.0ms	6894×	body	80	valid
782.0ms	1538×	body	1280	valid
458.0ms	1222×	body	640	valid
116.0ms	635×	body	320	valid
38.0ms	326×	body	160	valid