Details

sample137.0ms

Algorithm

intervals

Results

54.0ms	98×	body	1280	valid
23.0ms	77×	body	640	valid
17.0ms	280×	body	80	valid
8.0ms	37×	body	320	valid
4.0ms	25×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	89	11
4	119	11
5	153	11
6	217	11
7	346	11
8	382	11
9	418	11
10	474	11
done	474	11

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

36.0ms	(+ (exp (- im)) (exp im))
81.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp (- im)) (exp im))
115.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.5s

Counts

41 → 41

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	87	548
1	244	530
2	988	441
3	4297	437
done	5000	437

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

62.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
42.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
28.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
56.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

series991.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))))
212.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
221.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))
249.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	128	2071
1	307	1868
2	954	1631
3	3479	1482
done	5000	1470

prune322.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

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	10	11
1	13	11
done	13	11

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.4s	2989×	body	1280	valid
665.0ms	2451×	body	640	valid
474.0ms	8601×	body	80	valid
220.0ms	1234×	body	320	valid
71.0ms	572×	body	160	valid