Details

sample80.0ms

Algorithm

intervals

Results

27.0ms	48×	body	1280	valid
13.0ms	207×	body	80	valid
12.0ms	37×	body	640	valid
7.0ms	35×	body	320	valid
2.0ms	16×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
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))

series86.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(* (exp re) (cos im))

simplify5.3s

Counts

21 → 21

Iterations

Iter	Nodes
done	5003
5	4967
4	1465
3	622
2	211
1	85
0	38

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos im) (exp re))
0.1b	(* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (cos im) (exp re))))
0.2b	(* (* (cos im) (exp re)) (* (cos im) (exp re)))
0.2b	(cbrt (* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (cos im) (exp re)))))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

173×	`pow1`
78×	`pow-prod-down`
59×	`add-cbrt-cube`
41×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
34×	`pow-prod-up`
12×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `pow-plus` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow2` `*-commutative`
2×	`cube-unmult`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

11.0ms	(* (cos im) (exp re))
199.0ms	(* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (cos im) (exp re))))
53.0ms	(* (* (cos im) (exp re)) (* (cos im) (exp re)))
146.0ms	(cbrt (* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (cos im) (exp re)))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cos im) (exp re))
94.0ms	(* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (cos im) (exp re))))
76.0ms	(* (* (cos im) (exp re)) (* (cos im) (exp re)))
52.0ms	(cbrt (* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (cos im) (exp re)))))

simplify2.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	1176
1	308
0	109

prune323.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos im) (exp re))
0.1b	(* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re)))))
0.2b	(* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re))))
0.2b	(cbrt (* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re))))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

92×	`pow1` `add-cbrt-cube`
75×	`add-exp-log`
67×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`*-commutative`
1×	`cbrt-prod` `pow1/3` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

18.0ms	(* (cos im) (exp re))
431.0ms	(* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re)))))
139.0ms	(* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re))))
469.0ms	(cbrt (* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re))))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cos im) (exp re))
93.0ms	(* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re)))))
61.0ms	(* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re))))
50.0ms	(cbrt (* (* (cos im) (exp re)) (* (* (cos im) (exp re)) (* (* (cos im) (sqrt (exp re))) (sqrt (exp re))))))

simplify2.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1396
1	422
0	133

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-sqr-sqrt` `sqrt-prod`
8×	`add-cbrt-cube`
7×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-l` `*-commutative`

Counts

3 → 47

Calls

3 calls:

2.0ms	(sqrt (cos im))
2.0ms	(sqrt (cos im))
53.0ms	(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))

series74.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(sqrt (cos im))
16.0ms	(sqrt (cos im))
41.0ms	(* (* (exp re) (sqrt (cos im))) (sqrt (cos im)))

simplify3.2s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
4	2775
3	1467
2	483
1	154
0	60

prune201.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.1s

Algorithm

intervals

Results

599.0ms	1187×	body	640	valid
574.0ms	1492×	body	1280	valid
516.0ms	6915×	body	80	valid
129.0ms	678×	body	320	valid
31.0ms	323×	body	160	valid