Details

sample80.0ms

Algorithm

intervals

Results

35.0ms	87×	body	1280	valid
14.0ms	257×	body	80	valid
12.0ms	61×	body	640	valid
5.0ms	34×	body	320	valid
1.0ms	14×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	56	11
3	82	11
4	184	11
5	250	11
6	322	11
7	561	11
8	678	11
9	714	11
10	841	11
11	860	11
done	860	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

26.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify2.6s

Counts

26 → 26

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	73	391
1	213	381
2	854	311
3	3906	308
done	5000	308

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

10.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
11.0ms	(* (exp im) (* 0.5 (cos re)))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series155.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
42.0ms	(* (exp im) (* 0.5 (cos re)))
36.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify720.0ms

Counts

59 → 59

Iterations

Useful iterations: done (718.0ms)

Iter	Nodes	Cost
0	102	789
1	278	713
2	1080	626
done	5001	605

prune126.0ms

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 (/ (exp im) (cos re))) (* (exp im) (* 0.5 (cos re))))
0.0b	(* (exp im) (* 0.5 (cos re)))
0.1b	(/ (exp im) (cos re))
0.2b	(/ 0.5 (/ (exp im) (cos re)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

30.0ms	(+ (/ 0.5 (/ (exp im) (cos re))) (* (exp im) (* 0.5 (cos re))))
9.0ms	(* (exp im) (* 0.5 (cos re)))
3.0ms	(/ (exp im) (cos re))
6.0ms	(/ 0.5 (/ (exp im) (cos re)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (/ 0.5 (/ (exp im) (cos re))) (* (exp im) (* 0.5 (cos re))))
40.0ms	(* (exp im) (* 0.5 (cos re)))
39.0ms	(/ (exp im) (cos re))
42.0ms	(/ 0.5 (/ (exp im) (cos re)))

simplify758.0ms

Counts

138 → 138

Iterations

Useful iterations: done (754.0ms)

Iter	Nodes	Cost
0	218	1936
1	528	1814
2	1700	1659
done	5000	1658

prune342.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

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	10	11
1	13	11
done	13	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	2937×	body	1280	valid
520.0ms	2478×	body	640	valid
359.0ms	8585×	body	80	valid
174.0ms	1252×	body	320	valid
55.0ms	614×	body	160	valid