Details

sample96.0ms

Algorithm

intervals

Results

38.0ms	99×	body	1280	valid
21.0ms	77×	body	640	valid
14.0ms	290×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	60	12
3	94	12
4	153	12
5	227	12
6	375	12
7	451	12
8	753	12
9	1427	12
10	1678	12
11	1714	12
12	1826	12
13	1843	12
done	1843	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

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:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
51.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (881.0ms)

Iter	Nodes	Cost
0	93	600
1	268	582
2	974	490
3	4222	487
done	5000	487

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 51

Calls

3 calls:

31.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
34.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
53.0ms	(* (exp im) (* 0.5 (sin re)))
54.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.1s

Counts

60 → 60

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	113	882
1	321	758
2	1139	650
done	5001	637

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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-l` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 50

Calls

3 calls:

11.0ms	(+ (* (exp 0.0) (/ (* 0.5 (sin re)) (exp im))) (* (exp im) (* 0.5 (sin re))))
9.0ms	(* (exp im) (* 0.5 (sin re)))
4.0ms	(/ (* 0.5 (sin re)) (exp im))

series236.0ms

Counts

3 → 9

Calls

3 calls:

146.0ms	(+ (* (exp 0.0) (/ (* 0.5 (sin re)) (exp im))) (* (exp im) (* 0.5 (sin re))))
48.0ms	(* (exp im) (* 0.5 (sin re)))
42.0ms	(/ (* 0.5 (sin re)) (exp im))

simplify595.0ms

Counts

59 → 59

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	121	886
1	346	843
2	1331	698
done	5000	698

prune154.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

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	18
1	16	18
done	16	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3006×	body	1280	valid
598.0ms	2566×	body	640	valid
426.0ms	8542×	body	80	valid
195.0ms	1263×	body	320	valid
62.0ms	594×	body	160	valid