Details

sample174.0ms

Algorithm

intervals

Results

76.0ms	85×	body	1280	valid
33.0ms	78×	body	640	valid
27.0ms	299×	body	80	valid
11.0ms	37×	body	320	valid
4.0ms	18×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	364
1	26	364
2	61	364
3	108	364
4	175	364
5	760	364
done	5001	364

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

56.0ms	(+ (exp (- 0.0 im)) (exp im))
116.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
93.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.7s

Counts

41 → 41

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	93	16210
1	279	14641
2	1569	14561
done	5002	14261

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sin re) (exp im))
0.0b	(* (sin re) (exp im))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
4×	`pow1` `add-exp-log`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

16.0ms	(/ (sin re) (exp im))
23.0ms	(* (sin re) (exp im))

series119.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (sin re) (exp im))
63.0ms	(* (sin re) (exp im))

simplify997.0ms

Counts

51 → 51

Iterations

Useful iterations: done (993.0ms)

Iter	Nodes	Cost
0	75	13893
1	164	13386
2	675	13166
done	5001	13006

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
0.0b	(* (sin re) (sqrt (exp im)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

4.0ms	(sqrt (exp im))
4.0ms	(sqrt (exp im))
73.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
27.0ms	(* (sin re) (sqrt (exp im)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt (exp im))
20.0ms	(sqrt (exp im))
38.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
56.0ms	(* (sin re) (sqrt (exp im)))

simplify1.5s

Counts

87 → 87

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	83	20330
1	196	17790
2	916	17790
done	5000	17140

prune476.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (exp im)))
0.0b	(* (sin re) (* (fabs (cbrt (exp im))) (sqrt (cbrt (exp im)))))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`cbrt-prod` `pow1`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1`
1×	`pow1/2` `associate-r` `*-commutative`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt (cbrt (exp im)))
33.0ms	(* (sin re) (* (fabs (cbrt (exp im))) (sqrt (cbrt (exp im)))))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))

series435.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(sqrt (cbrt (exp im)))
113.0ms	(* (sin re) (* (fabs (cbrt (exp im))) (sqrt (cbrt (exp im)))))
125.0ms	(cbrt (exp im))
96.0ms	(cbrt (exp im))

simplify3.2s

Counts

70 → 70

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	92	21313
1	205	19544
2	703	19226
3	3259	18506
done	5000	16514

prune486.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	293
1	12	293
done	12	293

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.0s	3050×	body	1280	valid
1.7s	8522×	body	80	valid
1.3s	2621×	body	640	valid
450.0ms	1217×	body	320	valid
217.0ms	632×	body	160	valid