Details

sample98.0ms

Algorithm

intervals

Results

44.0ms	101×	body	1280	valid
17.0ms	77×	body	640	valid
12.0ms	247×	body	80	valid
7.0ms	47×	body	320	valid
3.0ms	24×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	62	12
3	111	12
4	181	12
5	263	12
6	407	12
7	508	12
8	814	12
9	1489	12
10	1735	12
11	1771	12
12	1884	12
13	1903	12
done	1903	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite113.0ms

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:

34.0ms	(+ (exp (- 0.0 im)) (exp im))
77.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
73.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.5s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	97	642
1	277	622
2	1019	528
3	4401	527
done	5000	527

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite34.0ms

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)))
8.0ms	(* (* 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))

series204.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (exp (- 0.0 im)))
15.0ms	(sqrt (exp (- 0.0 im)))
103.0ms	(* (* 0.5 (sin re)) (fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im)))
71.0ms	(fma (sqrt (exp (- 0.0 im))) (sqrt (exp (- 0.0 im))) (exp im))

simplify2.0s

Counts

108 → 108

Iterations

Useful iterations: 3 (961.0ms)

Iter	Nodes	Cost
0	166	1635
1	328	1179
2	918	978
3	3111	879
done	5001	879

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite86.0ms

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:

34.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
40.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
51.0ms	(* (exp im) (* 0.5 (sin re)))
55.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify912.0ms

Counts

76 → 76

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	137	1113
1	374	945
2	1301	799
done	5000	782

prune242.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

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

sample2.8s

Algorithm

intervals

Results

1.2s	2992×	body	1280	valid
564.0ms	2379×	body	640	valid
437.0ms	8530×	body	80	valid
192.0ms	1210×	body	320	valid
71.0ms	643×	body	160	valid