Details

sample156.0ms

Algorithm

intervals

Results

67.0ms	92×	body	1280	valid
33.0ms	81×	body	640	valid
19.0ms	232×	body	80	valid
10.0ms	39×	body	320	valid
2.0ms	12×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	93	11
4	470	11
5	4175	11
done	5001	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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:

78.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

series117.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
25.0ms	(+ (exp (- im)) (exp im))

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	87	548
1	275	530
2	1853	443
done	5000	441

prune138.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite88.0ms

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:

34.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
39.0ms	(* (exp im) (* 0.5 (cos re)))
14.0ms	(/ (* 0.5 (cos re)) (exp im))

series217.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
57.0ms	(* (exp im) (* 0.5 (cos re)))
49.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	102	789
1	293	736
2	1459	633
done	5001	607

prune285.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`exp-neg` `associate-r/` `-commutative`
1×	`+-commutative` `neg-sub0` `flip3-+` `exp-diff` `sum-log` `un-div-inv` `flip-+`

Counts

3 → 50

Calls

3 calls:

71.0ms	(+ (* (* 0.5 (cos re)) (exp (- im))) (* (exp im) (* 0.5 (cos re))))
47.0ms	(* (* 0.5 (cos re)) (exp (- im)))
36.0ms	(* (exp im) (* 0.5 (cos re)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ (* (* 0.5 (cos re)) (exp (- im))) (* (exp im) (* 0.5 (cos re))))
77.0ms	(* (* 0.5 (cos re)) (exp (- im)))
79.0ms	(* (exp im) (* 0.5 (cos re)))

simplify2.0s

Counts

59 → 59

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	107	811
1	307	727
2	2146	592
done	5002	573

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-cbrt-cube`
16×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
8×	`sqrt-pow1`
7×	`associate-l`
6×	`exp-prod`
4×	`associate-r` `add-log-exp`
2×	`exp-neg` `rem-sqrt-square` `pow1/2` `associate-r/` `-commutative`
1×	`neg-sub0` `exp-diff` `un-div-inv`

Counts

4 → 77

Calls

4 calls:

5.0ms	(sqrt (exp im))
6.0ms	(sqrt (exp im))
51.0ms	(* (* 0.5 (cos re)) (exp (- im)))
118.0ms	(* (sqrt (exp im)) (* (sqrt (exp im)) (* (cos re) 0.5)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sqrt (exp im))
13.0ms	(sqrt (exp im))
58.0ms	(* (* 0.5 (cos re)) (exp (- im)))
66.0ms	(* (sqrt (exp im)) (* (sqrt (exp im)) (* (cos re) 0.5)))

simplify1.4s

Counts

89 → 89

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	119	876
1	302	708
2	1871	587
done	5001	563

prune361.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes286.0ms

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	10	11
1	13	11
done	13	11

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.6s	2955×	body	1280	valid
1.5s	2487×	body	640	valid
1.2s	8687×	body	80	valid
433.0ms	1201×	body	320	valid
155.0ms	606×	body	160	valid