Details

sample91.0ms

Algorithm

intervals

Results

38.0ms	101×	body	1280	valid
16.0ms	77×	body	640	valid
14.0ms	248×	body	80	valid
7.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	58	11
3	98	11
4	204	11
5	272	11
6	357	11
7	600	11
8	700	11
9	736	11
10	863	11
11	880	11
done	880	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)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `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` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

13.0ms	(+ (exp (- im)) (exp im))
28.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify2.7s

Counts

48 → 48

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	91	586
1	256	566
2	969	488
3	4245	471
done	5001	471

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

10.0ms	(+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))
4.0ms	(/ (cos re) (exp im))

series111.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))
28.0ms	(/ (cos re) (exp im))

simplify1.3s

Counts

49 → 49

Iterations

Useful iterations: 3 (483.0ms)

Iter	Nodes	Cost
0	96	661
1	237	621
2	727	546
3	2894	539
done	5000	539

prune135.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes137.0ms

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	15
1	14	15
done	14	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	2990×	body	1280	valid
534.0ms	2386×	body	640	valid
398.0ms	8530×	body	80	valid
180.0ms	1205×	body	320	valid
63.0ms	645×	body	160	valid