Details

sample122.0ms

Algorithm

intervals

Results

42.0ms	91×	body	1280	valid
25.0ms	274×	body	80	valid
21.0ms	80×	body	640	valid
8.0ms	41×	body	320	valid
2.0ms	14×	body	160	valid

simplify3.0s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite74.0ms

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))
52.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
5.0ms	(/ 0.5 (exp im))

series155.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
76.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
15.0ms	(/ 0.5 (exp im))

simplify2.2s

Counts

67 → 67

Iterations

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

prune364.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`add-cbrt-cube`
14×	`sqrt-div`
13×	`add-exp-log`
12×	`associate-l`
11×	`pow1`
10×	`associate-*l/`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`associate-/r` `associate-/l`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-r/` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

51.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))
428.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
13.0ms	(/ 0.5 (exp im))
7.0ms	(/ 0.5 (exp im))

series257.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))
103.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
15.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))

simplify2.1s

Counts

119 → 119

Iterations

Iter	Nodes
done	5071
3	4178
2	1057
1	369
0	154

prune509.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	2965×	body	1280	valid
1.2s	8600×	body	80	valid
941.0ms	2514×	body	640	valid
279.0ms	1243×	body	320	valid
132.0ms	646×	body	160	valid