Details

sample183.0ms

Algorithm

intervals

Results

84.0ms	110×	body	1280	valid
32.0ms	62×	body	640	valid
31.0ms	293×	body	80	valid
13.0ms	36×	body	320	valid
4.0ms	18×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	4347
10	4347
9	4273
8	4056
7	3249
6	1835
5	769
4	264
3	108
2	59
1	23
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `associate-r` `add-cube-cbrt` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 44

Calls

2 calls:

47.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
13.0ms	(+ (exp (- im)) (exp im))

series90.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
25.0ms	(+ (exp (- im)) (exp im))

simplify1.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	5002
2	1179
1	268
0	91

prune250.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube`
14×	`associate-l`
12×	`add-exp-log`
11×	`pow1`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `associate-*l/` `flip-+`

Counts

4 → 101

Calls

4 calls:

21.0ms	(* (* 0.5 (cos re)) (exp im))
20.0ms	(+ (* (/ 0.5 (exp im)) (cos re)) (* (* 0.5 (cos re)) (exp im)))
31.0ms	(* (/ 0.5 (exp im)) (cos re))
5.0ms	(/ 0.5 (exp im))

series230.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* 0.5 (cos re)) (exp im))
127.0ms	(+ (* (/ 0.5 (exp im)) (cos re)) (* (* 0.5 (cos re)) (exp im)))
50.0ms	(* (/ 0.5 (exp im)) (cos re))
14.0ms	(/ 0.5 (exp im))

simplify1.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1715
1	420
0	158

prune495.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(* (/ 0.5 (sqrt (exp im))) (cos re))
0.0b	(* (/ 1 (sqrt (exp im))) (* (/ 0.5 (sqrt (exp im))) (cos re)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
45×	`add-sqr-sqrt`
44×	`associate-l`
38×	`times-frac`
35×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-cbrt-cube`
25×	`sqrt-prod`
22×	`prod-exp`
13×	`pow1`
12×	`cbrt-unprod`
11×	`div-exp`
8×	`sqrt-pow1`
6×	`cbrt-undiv` `exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 140

Calls

4 calls:

2.0ms	(sqrt (exp im))
2.0ms	(sqrt (exp im))
18.0ms	(* (/ 0.5 (sqrt (exp im))) (cos re))
52.0ms	(* (/ 1 (sqrt (exp im))) (* (/ 0.5 (sqrt (exp im))) (cos re)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt (exp im))
13.0ms	(sqrt (exp im))
57.0ms	(* (/ 0.5 (sqrt (exp im))) (cos re))
50.0ms	(* (/ 1 (sqrt (exp im))) (* (/ 0.5 (sqrt (exp im))) (cos re)))

simplify1.8s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	1487
1	470
0	189

prune623.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.1s	3056×	body	1280	valid
2.2s	2427×	body	640	valid
1.1s	8623×	body	80	valid
471.0ms	1255×	body	320	valid
226.0ms	653×	body	160	valid