Details

sample91.0ms

Algorithm

intervals

Results

39.0ms	101×	body	1280	valid
17.0ms	77×	body	640	valid
12.0ms	247×	body	80	valid
7.0ms	47×	body	320	valid
2.0ms	24×	body	160	valid

simplify28.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	62	12
3	117	12
4	191	12
5	363	12
6	681	12
7	855	12
8	1330	12
9	2557	12
10	4729	12
done	5001	12

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)))

rewrite106.0ms

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:

32.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

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)))

simplify445.0ms

Counts

59 → 59

Iterations

Useful iterations: done (444.0ms)

Iter	Nodes	Cost
0	97	642
1	279	622
2	1093	528
done	5000	527

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`exp-sum`
21×	`add-cube-cbrt`
18×	`prod-diff`
12×	`sqrt-pow1`
11×	`pow1`
10×	`exp-prod`
9×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`sub-neg` `rem-sqrt-square` `pow1/2` `exp-diff` `sqrt-div` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

11.0ms	(sqrt (exp (- 0.0 im)))
11.0ms	(sqrt (exp (- 0.0 im)))
10.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
0.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))

series193.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (exp (- 0.0 im)))
14.0ms	(sqrt (exp (- 0.0 im)))
97.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
67.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))

simplify496.0ms

Counts

108 → 108

Iterations

Useful iterations: done (493.0ms)

Iter	Nodes	Cost
0	166	1635
1	336	1179
2	1105	978
done	5000	975

prune288.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
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-r` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `fma-def` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

30.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
41.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
47.0ms	(* (exp im) (* 0.5 (sin re)))
56.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify516.0ms

Counts

76 → 76

Iterations

Useful iterations: done (514.0ms)

Iter	Nodes	Cost
0	137	1113
1	376	945
2	1457	799
done	5000	790

prune211.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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	12	18
1	14	18
done	14	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2992×	body	1280	valid
535.0ms	2379×	body	640	valid
402.0ms	8530×	body	80	valid
177.0ms	1210×	body	320	valid
63.0ms	643×	body	160	valid