Details

sample79.0ms

Algorithm

intervals

Results

24.0ms	41×	body	1280	valid
17.0ms	238×	body	80	valid
13.0ms	36×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

28.0ms

(* (exp re) (cos im))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(* (exp re) (cos im))

simplify2.6s

Counts

21 → 21

Iterations

Useful iterations: 2 (62.0ms)

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

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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:

84.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
25.0ms	(* (sqrt (exp re)) (cos im))
5.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))

series160.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
68.0ms	(* (sqrt (exp re)) (cos im))
20.0ms	(sqrt (exp re))
20.0ms	(sqrt (exp re))

simplify4.1s

Counts

87 → 87

Iterations

Useful iterations: 3 (457.0ms)

Iter	Nodes	Cost
0	75	723
1	151	578
2	431	522
3	819	513
4	1118	513
5	2582	513
done	5001	513

prune278.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`associate-l`
9×	`associate-r`
8×	`add-exp-log` `pow1/3`
6×	`swap-sqr` `unswap-sqr`
5×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus`

Counts

4 → 84

Calls

4 calls:

4.0ms	(cbrt (exp re))
4.0ms	(cbrt (exp re))
27.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
15.0ms	(* (cbrt (exp re)) (cos im))

series410.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (exp re))
108.0ms	(cbrt (exp re))
105.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
80.0ms	(* (cbrt (exp re)) (cos im))

simplify2.8s

Counts

96 → 96

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	86	809
1	162	742
2	399	688
3	919	637
4	2572	598
done	5001	582

prune271.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
38×	`add-sqr-sqrt`
23×	`pow1`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
10×	`associate-r` `associate-l` `pow-prod-down` `add-cbrt-cube`
9×	`swap-sqr` `prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`pow1/3`
4×	`add-log-exp`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 104

Calls

4 calls:

2.0ms	(cbrt (cbrt (exp re)))
2.0ms	(cbrt (cbrt (exp re)))
74.0ms	(* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cos im)))
27.0ms	(* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt (cbrt (exp re)))
96.0ms	(cbrt (cbrt (exp re)))
84.0ms	(* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (* (cbrt (cbrt (exp re))) (cos im)))
99.0ms	(* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re))))

simplify3.8s

Counts

116 → 116

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	114	1544
1	226	1444
2	708	1152
3	2256	989
done	5001	928

prune375.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

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	7	10
1	9	10
done	9	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	1510×	body	1280	valid
521.0ms	6987×	body	80	valid
313.0ms	1232×	body	640	valid
115.0ms	655×	body	320	valid
31.0ms	261×	body	160	valid