Details

sample86.0ms

Algorithm

intervals

Results

34.0ms	93×	body	1280	valid
16.0ms	75×	body	640	valid
12.0ms	270×	body	80	valid
6.0ms	39×	body	320	valid
2.0ms	18×	body	160	valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4421	7
9	5001	7
done	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

54.0ms	(+ (exp (- 0.0 im)) (exp im))
138.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify40.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317
done	5001	317

prune161.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.0b	(* (* 0.5 (sin re)) (exp im))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

59.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
96.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))

series174.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
40.0ms	(* (* 0.5 (sin re)) (exp im))

simplify60.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	436	617
1	2003	504
2	5001	499
done	5001	499

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* re (pow im 2)))
0.1b	(* 0.16666666666666666 (pow re 3))
7.6b	(* re (pow im 2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
5×	`pow1` `cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`unpow2`
1×	`cube-mult` `unpow3` `pow-prod-down`

Counts

3 → 83

Calls

3 calls:

22.0ms	(* 0.5 (* re (pow im 2)))
12.0ms	(* 0.16666666666666666 (pow re 3))
12.0ms	(* re (pow im 2))

series99.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 0.5 (* re (pow im 2)))
38.0ms	(* 0.16666666666666666 (pow re 3))
29.0ms	(* re (pow im 2))

simplify39.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	277	335
1	1165	289
2	5002	287
done	5002	287

prune175.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

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	14	7
1	14	7
done	14	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2958×	body	1280	valid
540.0ms	2484×	body	640	valid
388.0ms	8423×	body	80	valid
179.0ms	1213×	body	320	valid
64.0ms	662×	body	160	valid