Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	47×	body	1280	valid
8.0ms	45×	body	640	valid
7.0ms	211×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	19×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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) (sin im))

rewrite6.0ms

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:

6.0ms

(* (exp re) (sin im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify3.0s

Counts

23 → 23

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	244	148
3	485	146
4	784	146
5	1619	146
6	4457	146
done	5001	146

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
23.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
48.0ms	(* (sqrt (exp re)) (sin im))
37.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify3.1s

Counts

95 → 95

Iterations

Useful iterations: 4 (942.0ms)

Iter	Nodes	Cost
0	87	783
1	184	622
2	507	565
3	1182	556
4	1730	551
5	3831	551
done	5000	551

prune222.0ms

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	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
0.0b	(pow (exp 1) (/ re 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
13×	`pow-unpow` `associate-l`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`times-frac`
8×	`pow1`
7×	`sqrt-prod`
6×	`unpow-prod-down` `exp-prod`
4×	`expm1-log1p-u` `pow-pow` `sqrt-pow1` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp`
2×	`*-commutative` `unswap-sqr` `sqr-pow`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `div-inv`

Counts

4 → 100

Calls

4 calls:

1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
22.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
3.0ms	(pow (exp 1) (/ re 2))

series144.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (sin im))
74.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
13.0ms	(pow (exp 1) (/ re 2))

simplify2.0s

Counts

112 → 112

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	151	1132
1	349	931
2	949	880
3	3304	860
done	5000	860

prune340.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample1.2s

Algorithm

intervals

Results

460.0ms	1501×	body	1280	valid
248.0ms	6989×	body	80	valid
217.0ms	1260×	body	640	valid
66.0ms	584×	body	320	valid
24.0ms	316×	body	160	valid