Details

sample91.0ms

Algorithm

intervals

Results

36.0ms	98×	body	1280	valid
17.0ms	77×	body	640	valid
13.0ms	281×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	24×	body	160	valid

simplify71.0ms

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)))

rewrite192.0ms

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:

56.0ms	(+ (exp (- 0.0 im)) (exp im))
134.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
71.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (35.0ms)

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

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
0.0b	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
0.0b	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

rewrite440.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
28×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-r`
14×	`fma-def`
12×	`unpow-prod-down` `cube-prod`
11×	`exp-sum`
10×	`pow1` `add-exp-log`
9×	`prod-diff`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

55.0ms	(+ (exp (- 0.0 im)) (exp im))
69.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
231.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
81.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

series175.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (exp (- 0.0 im)) (exp im))
24.0ms	(cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3))
73.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp (- 0.0 im)) (exp im)) 3)))
50.0ms	(pow (+ (exp (- 0.0 im)) (exp im)) 3)

simplify61.0ms

Counts

132 → 132

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	422	928
1	1932	864
2	5001	851
done	5001	851

prune340.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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

rewrite154.0ms

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:

58.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
25.0ms	(* (* 0.5 (sin re)) (exp im))
69.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
43.0ms	(* (* 0.5 (sin re)) (exp im))
46.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify62.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (57.0ms)

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

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
27.0ms	(* (* 0.5 (sin re)) (exp im))

series140.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
40.0ms	(* (* 0.5 (sin re)) (exp im))

simplify107.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	213	285
1	831	235
2	4309	230
3	5002	229
done	5002	229

prune100.0ms

Pruning

2 alts after pruning (0 fresh and 2 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	13	9
1	13	9
done	13	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2991×	body	1280	valid
562.0ms	2451×	body	640	valid
399.0ms	8605×	body	80	valid
187.0ms	1230×	body	320	valid
57.0ms	570×	body	160	valid