Details

sample172.0ms

Algorithm

intervals

Results

77.0ms	103×	body	1280	valid
33.0ms	72×	body	640	valid
24.0ms	258×	body	80	valid
11.0ms	34×	body	320	valid
3.0ms	17×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	3212
10	3212
9	3063
8	2876
7	2355
6	1348
5	617
4	210
3	86
2	57
1	23
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

16.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
54.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
5.0ms	(/ 0.5 (exp im))

series204.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
99.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
26.0ms	(/ 0.5 (exp im))

simplify2.6s

Counts

67 → 67

Iterations

Iter	Nodes
done	5049
3	4441
2	920
1	283
0	119

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.1b	(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)))
0.3b	(* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)))
0.3b	(cbrt (* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

198×	`pow1`
150×	`associate-*l/`
86×	`pow-prod-down`
60×	`frac-times` `flip3-+` `flip-+`
59×	`add-cbrt-cube`
58×	`add-exp-log`
39×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
26×	`cbrt-div`
19×	`pow-plus`
18×	`associate-*r/`
16×	`pow-sqr`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`pow2` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`associate-r` `associate-l` `pow3` `*-commutative`
1×	`cbrt-prod` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `swap-sqr` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 205

Calls

4 calls:

8.0ms	(/ 0.5 (exp im))
609.0ms	(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)))
186.0ms	(* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)))
626.0ms	(cbrt (* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 0.5 (exp im))
124.0ms	(* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)))
135.0ms	(* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)))
96.0ms	(cbrt (* (* (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re)) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))) (* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))))

simplify2.3s

Counts

217 → 217

Iterations

Iter	Nodes
done	5011
2	2762
1	679
0	250

prune544.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.2s	3016×	body	1280	valid
1.8s	2476×	body	640	valid
826.0ms	8505×	body	80	valid
378.0ms	1284×	body	320	valid
155.0ms	646×	body	160	valid