Details

sample75.0ms

Algorithm

intervals

Results

33.0ms	51×	body	1280	valid
10.0ms	211×	body	80	valid
8.0ms	37×	body	640	valid
5.0ms	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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

20.0ms

(* (exp re) (cos im))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (exp re) (cos im))

simplify3.1s

Counts

21 → 21

Iterations

Useful iterations: 2 (357.0ms)

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

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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))

rewrite135.0ms

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:

6.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))
74.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
46.0ms	(* (sqrt (exp re)) (cos im))

series187.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (exp re))
20.0ms	(sqrt (exp re))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
91.0ms	(* (sqrt (exp re)) (cos im))

simplify5.3s

Counts

87 → 87

Iterations

Useful iterations: 3 (544.0ms)

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

prune295.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite75.0ms

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:

50.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
6.0ms	(cbrt (sqrt (exp re)))
6.0ms	(cbrt (sqrt (exp re)))
6.0ms	(cbrt (sqrt (exp re)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
105.0ms	(cbrt (sqrt (exp re)))
123.0ms	(cbrt (sqrt (exp re)))
129.0ms	(cbrt (sqrt (exp re)))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

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

prune403.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (cos im))
0.1b	(* (sqrt (* (sqrt (exp re)) (cos im))) (sqrt (* (sqrt (exp re)) (cos im))))
0.3b	(sqrt (* (sqrt (exp re)) (cos im)))
0.3b	(sqrt (* (sqrt (exp re)) (cos im)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
17×	`add-sqr-sqrt`
12×	`pow1/2`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l` `sqrt-prod` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`pow-sqr`
4×	`swap-sqr` `add-log-exp`
3×	`unswap-sqr`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 93

Calls

4 calls:

34.0ms	(* (sqrt (exp re)) (cos im))
151.0ms	(* (sqrt (* (sqrt (exp re)) (cos im))) (sqrt (* (sqrt (exp re)) (cos im))))
11.0ms	(sqrt (* (sqrt (exp re)) (cos im)))
11.0ms	(sqrt (* (sqrt (exp re)) (cos im)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (sqrt (exp re)) (cos im))
74.0ms	(* (sqrt (* (sqrt (exp re)) (cos im))) (sqrt (* (sqrt (exp re)) (cos im))))
102.0ms	(sqrt (* (sqrt (exp re)) (cos im)))
137.0ms	(sqrt (* (sqrt (exp re)) (cos im)))

simplify3.0s

Counts

105 → 105

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	90	1159
1	162	805
2	476	739
3	1728	710
done	5000	703

prune262.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes134.0ms

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

sample2.9s

Algorithm

intervals

Results

1.2s	1538×	body	1280	valid
516.0ms	6894×	body	80	valid
440.0ms	1222×	body	640	valid
266.0ms	635×	body	320	valid
55.0ms	326×	body	160	valid