Details

sample1.8s

Algorithm

intervals

Results

492.0ms	49×	body	640	nan
402.0ms	127×	body	10240	exit
317.0ms	108×	body	1280	valid
236.0ms	84×	body	640	valid
132.0ms	55×	body	1280	nan
48.0ms	37×	body	320	valid
42.0ms	31×	body	320	nan
21.0ms	25×	body	160	valid
6.0ms	7×	body	160	nan
3.0ms	7×	body	80	nan
3.0ms	5×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2007
3	2007
2	420
1	140
0	55

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize122.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
1.0b	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

246×	`*-un-lft-identity`
99×	`distribute-lft-out`
88×	`times-frac`
21×	`distribute-lft-out--`
18×	`add-log-exp`
13×	`frac-add`
12×	`add-sqr-sqrt`
10×	`associate-l`
9×	`sum-log` `add-exp-log`
7×	`pow1` `add-cube-cbrt`
6×	`unpow-prod-down` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`associate-r` `insert-posit16`
3×	`prod-exp` `unswap-sqr`
2×	`+-commutative` `sqrt-pow1` `sqrt-prod` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `pow-sub`

Counts

4 → 109

Calls

4 calls:

151.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
738.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
141.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))

series647.0ms

Counts

4 → 10

Calls

4 calls:

88.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
184.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
375.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify1.5s

Counts

119 → 119

Iterations

Iter	Nodes
done	2001
2	2001
1	800
0	288

prune3.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize166.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt`
6×	`unpow-prod-down` `sqrt-pow1` `add-cbrt-cube`
4×	`associate-r` `sqrt-prod` `insert-posit16` `add-log-exp`
3×	`pow1/2` `pow-prod-down` `prod-exp` `unswap-sqr`
2×	`distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `distribute-lft-out--` `pow-sub`

Counts

4 → 67

Calls

4 calls:

155.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series477.0ms

Counts

4 → 6

Calls

4 calls:

477.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	2027
3	2027
2	1059
1	319
0	122

prune2.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize197.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
8×	`sqrt-pow1`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `pow1/2` `pow-prod-down` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sqrt (* PI 2))
5.0ms	(sqrt (* PI 2))
5.0ms	(sqrt (* PI 2))
6.0ms	(sqrt (* PI 2))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	2021
6	2021
5	852
4	336
3	150
2	85
1	48
0	27

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.4b

localize691.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(sqrt PI)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify2.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	2004
3	2004
2	762
1	230
0	99

prune4.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.4b

regimes437.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	71
1	71
0	52

end0.0ms

sample50.0s

Algorithm

intervals

Results

17.5s	3935×	body	10240	exit
11.8s	3277×	body	1280	valid
6.3s	2566×	body	640	valid
5.9s	1481×	body	1280	nan
2.8s	1318×	body	640	nan
2.1s	1249×	body	320	valid
1.8s	632×	body	320	nan
699.0ms	668×	body	160	valid
377.0ms	327×	body	160	nan
153.0ms	335×	body	80	valid
147.0ms	329×	body	80	nan