Details

sample147.0ms

Algorithm

intervals

Results

69.0ms	119×	body	1280	valid
29.0ms	88×	body	640	valid
17.0ms	259×	body	80	valid
9.0ms	40×	body	320	valid
2.0ms	17×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	3212
10	3212
9	3063
8	2876
7	2355
6	1348
5	617
4	210
3	86
2	57
1	23
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

51.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify1.1s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
2	934
1	221
0	71

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

17.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
8.0ms	(/ (cos re) (exp im))
13.0ms	(* (cos re) (exp im))

series166.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* (cos re) (exp im)) (/ (cos re) (exp im)))
42.0ms	(/ (cos re) (exp im))
38.0ms	(* (cos re) (exp im))

simplify1.4s

Counts

66 → 66

Iterations

Iter	Nodes
done	5003
3	2397
2	662
1	235
0	98

prune278.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp im)) (cbrt (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

13.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))

series399.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
111.0ms	(cbrt (exp im))
86.0ms	(cbrt (exp im))
80.0ms	(cbrt (exp im))

simplify2.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
4	1754
3	632
2	298
1	132
0	60

prune376.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.8s	2975×	body	1280	valid
1.7s	2562×	body	640	valid
1.1s	8447×	body	80	valid
254.0ms	1215×	body	320	valid
92.0ms	653×	body	160	valid