Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	51×	body	1280	valid
7.0ms	218×	body	80	valid
7.0ms	45×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	10×	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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

37.0ms

(* (exp re) (sin im))

simplify4.6s

Counts

23 → 23

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	285	148
3	927	146
4	3743	146
done	5000	146

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite33.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
20.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
2.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series109.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (sqrt (exp re)) (sin im))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
14.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: 3 (255.0ms)

Iter	Nodes	Cost
0	87	783
1	192	622
2	618	565
3	1997	556
done	5000	556

prune206.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

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:

5.0ms

(* (sin im) (exp re))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (sin im) (exp re))

simplify2.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	40	171
1	92	166
2	272	147
3	559	146
4	1046	146
5	2936	146
done	5000	146

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (sqrt (exp re))))
0.0b	(* (expm1 (log1p (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `pow1/2`
1×	`expm1-log1p` `associate-r` `*-commutative` `expm1-udef`

Counts

4 → 67

Calls

4 calls:

0.0ms	(expm1 (log1p (sqrt (exp re))))
16.0ms	(* (expm1 (log1p (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series209.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(expm1 (log1p (sqrt (exp re))))
98.0ms	(* (expm1 (log1p (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify1.9s

Counts

79 → 79

Iterations

Useful iterations: 4 (714.0ms)

Iter	Nodes	Cost
0	77	657
1	155	434
2	441	391
3	940	383
4	2426	377
done	5000	377

prune200.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	5
done	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

464.0ms	1556×	body	1280	valid
241.0ms	6993×	body	80	valid
215.0ms	1251×	body	640	valid
65.0ms	594×	body	320	valid
23.0ms	309×	body	160	valid