Details

sample166.0ms

Algorithm

intervals

Results

66.0ms	110×	body	1280	valid
44.0ms	293×	body	80	valid
25.0ms	62×	body	640	valid
13.0ms	36×	body	320	valid
3.0ms	18×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	3398
10	3398
9	3392
8	3289
7	2910
6	1765
5	648
4	243
3	91
2	57
1	23
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

54.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
30.0ms	(+ (exp (- im)) (exp im))

series127.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
28.0ms	(+ (exp (- im)) (exp im))

simplify1.4s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1098
1	259
0	87

prune180.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`associate-/r` `times-frac` `associate-r*` `pow-prod-down` `insert-posit16`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-l` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 54

Calls

3 calls:

30.0ms	(* (* 0.5 (cos re)) (exp im))
31.0ms	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
12.0ms	(/ (* 0.5 (cos re)) (exp im))

series208.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (* 0.5 (cos re)) (exp im))
108.0ms	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
53.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5002
2	1308
1	299
0	106

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
0.0b	(/ (* 0.5 (cos re)) (sqrt (exp im)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
66×	`sqrt-prod`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
11×	`associate-/l*`
9×	`div-inv`
8×	`sqrt-pow1`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `exp-prod`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `prod-exp` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 156

Calls

4 calls:

3.0ms	(sqrt (exp im))
3.0ms	(sqrt (exp im))
28.0ms	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
19.0ms	(/ (* 0.5 (cos re)) (sqrt (exp im)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp im))
13.0ms	(sqrt (exp im))
54.0ms	(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
71.0ms	(/ (* 0.5 (cos re)) (sqrt (exp im)))

simplify1.3s

Counts

168 → 168

Iterations

Iter	Nodes
done	5000
2	1513
1	454
0	191

prune592.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.8s	3056×	body	1280	valid
2.1s	2427×	body	640	valid
1.2s	8623×	body	80	valid
466.0ms	1255×	body	320	valid
151.0ms	653×	body	160	valid