Details

sample159.0ms

Algorithm

intervals

Results

62.0ms	90×	body	1280	valid
33.0ms	73×	body	640	valid
31.0ms	272×	body	80	valid
13.0ms	40×	body	320	valid
6.0ms	25×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
6	1348
5	617
4	210
3	86
2	57
1	23
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*r/` `insert-posit16` `add-log-exp`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

46.0ms	(* (cos re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
7.0ms	(/ 0.5 (exp im))

series108.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(* (cos re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5)))
19.0ms	(/ 0.5 (exp im))

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	2004
3	2004
2	1028
1	288
0	111

prune247.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow1` `add-exp-log`
5×	`add-log-exp`
3×	`associate-/r` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `distribute-rgt-out` `div-exp` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

3 → 60

Calls

3 calls:

38.0ms	(* (* (exp im) 0.5) (cos re))
31.0ms	(+ (* (/ 0.5 (exp im)) (cos re)) (* (* (exp im) 0.5) (cos re)))
7.0ms	(/ 0.5 (exp im))

series177.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (* (exp im) 0.5) (cos re))
113.0ms	(+ (* (/ 0.5 (exp im)) (cos re)) (* (* (exp im) 0.5) (cos re)))
19.0ms	(/ 0.5 (exp im))

simplify954.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	2000
3	2000
2	1043
1	321
0	124

prune308.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos re) (+ (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (exp im) 0.5)))
0.0b	(/ (sqrt 0.5) (exp im))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`times-frac`
35×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
12×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`associate-l`
7×	`pow1` `unswap-sqr`
6×	`associate-/l*`
3×	`associate-/r` `prod-exp` `associate-r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+`

Counts

3 → 112

Calls

3 calls:

58.0ms	(* (cos re) (+ (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (exp im) 0.5)))
11.0ms	(/ (sqrt 0.5) (exp im))
26.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series318.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(* (cos re) (+ (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))) (* (exp im) 0.5)))
48.0ms	(/ (sqrt 0.5) (exp im))
83.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify1.3s

Counts

121 → 121

Iterations

Iter	Nodes
done	2008
3	2008
2	1758
1	469
0	175

prune444.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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	15
1	15
0	11

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.1s	2944×	body	1280	valid
1.3s	8444×	body	80	valid
1.2s	2387×	body	640	valid
421.0ms	1198×	body	320	valid
171.0ms	650×	body	160	valid