Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	48×	body	1280	valid
9.0ms	43×	body	640	valid
6.0ms	222×	body	80	valid
2.0ms	23×	body	320	valid
0.0ms	6×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

13.0ms

(* (exp re) (cos im))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (exp re) (cos im))

simplify1.9s

Counts

23 → 23

Iterations

Useful iterations: 4 (218.0ms)

Iter	Nodes	Cost
0	40	169
1	82	164
2	210	145
3	350	145
4	490	144
5	868	144
6	2183	144
done	5000	144

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

17.0ms	(* (sqrt (exp re)) (cos im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series106.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (sqrt (exp re)) (cos im))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
37.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify3.3s

Counts

95 → 95

Iterations

Useful iterations: 4 (887.0ms)

Iter	Nodes	Cost
0	81	775
1	159	616
2	446	560
3	855	554
4	1160	547
5	2619	547
done	5000	547

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos im) (exp re))
0.4b	(log1p (expm1 (* (cos im) (exp re))))
0.4b	(expm1 (* (cos im) (exp re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

13.0ms	(* (cos im) (exp re))
0.0ms	(log1p (expm1 (* (cos im) (exp re))))
1.0ms	(expm1 (* (cos im) (exp re)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (cos im) (exp re))
57.0ms	(log1p (expm1 (* (cos im) (exp re))))
55.0ms	(expm1 (* (cos im) (exp re)))

simplify1.8s

Counts

51 → 51

Iterations

Useful iterations: 4 (530.0ms)

Iter	Nodes	Cost
0	66	413
1	130	377
2	331	335
3	659	330
4	1536	329
done	5000	329

prune112.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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

sample1.2s

Algorithm

intervals

Results

441.0ms	1527×	body	1280	valid
212.0ms	6869×	body	80	valid
206.0ms	1275×	body	640	valid
63.0ms	637×	body	320	valid
21.0ms	305×	body	160	valid