Details

sample94.0ms

Algorithm

intervals

Results

38.0ms	105×	body	1280	valid
19.0ms	76×	body	640	valid
12.0ms	268×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	26×	body	160	valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7
done	5002	7

prune2.0ms

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)))

rewrite75.0ms

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:

16.0ms	(+ (exp (- im)) (exp im))
58.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify38.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284
done	5001	284

prune102.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

23.0ms	(* (* 0.5 (cos re)) (exp im))
27.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
13.0ms	(/ (* 0.5 (cos re)) (exp im))

series165.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (* 0.5 (cos re)) (exp im))
87.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
42.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify50.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384
done	5001	384

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(+ (* (* 0.5 (cos re)) (/ 1 (exp im))) (* (* 0.5 (cos re)) (exp im)))
0.0b	(* (* 0.5 (cos re)) (/ 1 (exp im)))
0.0b	(/ 1 (exp im))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`associate-r`
15×	`pow1` `prod-exp`
9×	`cbrt-unprod`
6×	`div-exp` `pow-prod-down` `add-log-exp`
4×	`pow-flip`
3×	`cbrt-undiv` `rec-exp` `exp-prod` `1-exp` `associate-/r` `associate-/l`
2×	`associate-l` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 102

Calls

4 calls:

24.0ms	(* (* 0.5 (cos re)) (exp im))
32.0ms	(+ (* (* 0.5 (cos re)) (/ 1 (exp im))) (* (* 0.5 (cos re)) (exp im)))
34.0ms	(* (* 0.5 (cos re)) (/ 1 (exp im)))
8.0ms	(/ 1 (exp im))

series170.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* 0.5 (cos re)) (exp im))
86.0ms	(+ (* (* 0.5 (cos re)) (/ 1 (exp im))) (* (* 0.5 (cos re)) (exp im)))
39.0ms	(* (* 0.5 (cos re)) (/ 1 (exp im)))
9.0ms	(/ 1 (exp im))

simplify71.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	436	728
1	2424	588
2	5002	561
done	5002	561

prune214.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes54.0ms

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	9
1	12	9
done	12	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2965×	body	1280	valid
538.0ms	2534×	body	640	valid
386.0ms	8456×	body	80	valid
185.0ms	1290×	body	320	valid
56.0ms	600×	body	160	valid