Details

sample87.0ms

Algorithm

intervals

Results

36.0ms	101×	body	1280	valid
13.0ms	65×	body	640	valid
11.0ms	271×	body	80	valid
8.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid

simplify759.0ms

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

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

rewrite74.0ms

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:

57.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
16.0ms	(+ (exp (- im)) (exp im))

series89.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
24.0ms	(+ (exp (- im)) (exp im))

simplify2.9s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	87	548
1	244	530
2	984	441
3	4205	437
done	5001	437

prune91.0ms

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))

rewrite63.0ms

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:

25.0ms	(* (* 0.5 (cos re)) (exp im))
24.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
12.0ms	(/ (* 0.5 (cos re)) (exp im))

series165.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (* 0.5 (cos re)) (exp im))
86.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
39.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	103	800
1	282	721
2	1217	660
done	5000	615

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`pow-prod-down` `unswap-sqr`
2×	`associate-r/` `-commutative` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

2 → 47

Calls

2 calls:

94.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
11.0ms	(* 1/12 (pow im 4))

series161.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
37.0ms	(* 1/12 (pow im 4))

simplify762.0ms

Counts

53 → 53

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	116	772
1	321	728
2	1300	630
done	5000	619

prune122.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

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	9	15
1	12	15
done	12	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3006×	body	1280	valid
489.0ms	2370×	body	640	valid
358.0ms	8504×	body	80	valid
173.0ms	1260×	body	320	valid
54.0ms	613×	body	160	valid