Details

sample1.7s

Algorithm

intervals

Results

713.0ms	106×	body	10240	exit
378.0ms	117×	body	1280	valid
156.0ms	69×	body	640	valid
112.0ms	47×	body	320	valid
92.0ms	32×	body	640	nan
87.0ms	36×	body	1280	nan
48.0ms	15×	body	160	nan
25.0ms	16×	body	320	nan
21.0ms	22×	body	160	valid
3.0ms	8×	body	80	nan
2.0ms	4×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize204.0ms

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))

rewrite1.1s

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:

144.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
792.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
169.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
6.0ms	(sqrt (* PI 2))

series631.0ms

Counts

4 → 10

Calls

4 calls:

123.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
157.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
350.0ms	(* (pow (+ (- z -6) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))

simplify1.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	2001
2	2001
1	800
0	288

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize135.0ms

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

252×	`*-un-lft-identity`
101×	`distribute-lft-out`
99×	`times-frac`
30×	`add-exp-log`
22×	`distribute-lft-out--`
18×	`add-log-exp`
13×	`frac-add`
12×	`div-exp`
11×	`associate-/r*`
10×	`unpow-prod-down`
9×	`sum-log` `add-cbrt-cube` `prod-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow-to-exp` `pow1` `pow-exp`
5×	`flip3-+` `flip-+`
4×	`unpow-prod-up` `insert-posit16`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `sqrt-pow1` `sqr-pow`
1×	`associate-+l+` `associate-+r+` `clear-num` `frac-2neg` `pow1/2` `pow-prod-down` `associate-/r/` `sqrt-prod` `cbrt-unprod` `div-inv` `associate-/l*` `pow-sub`

Counts

4 → 127

Calls

4 calls:

138.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
946.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
108.0ms	(/ (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (pow (+ (- z -6) 0.5) (- 1 0.5)))
3.0ms	(sqrt (* PI 2))

series1.1s

Counts

4 → 10

Calls

4 calls:

120.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
186.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
745.0ms	(/ (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (pow (+ (- z -6) 0.5) (- 1 0.5)))
0.0ms	(sqrt (* PI 2))

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	2000
2	2000
1	963
0	345

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize152.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
18×	`*-un-lft-identity`
13×	`pow1`
12×	`div-exp`
11×	`associate-/r*` `times-frac`
10×	`unpow-prod-down`
9×	`add-cbrt-cube` `prod-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow-to-exp` `pow-exp`
6×	`sqrt-pow1`
4×	`unpow-prod-up` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`pow1/2` `pow-prod-down` `sqrt-prod`
2×	`cbrt-undiv` `sub-neg` `distribute-lft-out--` `sqr-pow`
1×	`clear-num` `frac-2neg` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l*` `pow-sub`

Counts

4 → 85

Calls

4 calls:

121.0ms	(/ (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (pow (+ (- z -6) 0.5) (- 1 0.5)))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series736.0ms

Counts

4 → 6

Calls

4 calls:

736.0ms	(/ (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (pow (+ (- z -6) 0.5) (- 1 0.5)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	2000
2	2000
1	531
0	200

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize194.0ms

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

372×	`*-un-lft-identity`
361×	`times-frac`
161×	`add-exp-log`
123×	`distribute-lft-out`
119×	`unpow-prod-down`
99×	`div-exp`
73×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`cbrt-prod`
56×	`unpow-prod-up`
53×	`pow-exp`
48×	`prod-exp`
41×	`pow-to-exp`
33×	`distribute-lft-out--`
28×	`sub-neg` `sqr-pow`
18×	`add-log-exp`
16×	`associate-/r/` `div-inv` `pow-sub`
14×	`associate-/r*`
13×	`add-cbrt-cube` `frac-add`
12×	`associate-/l*`
9×	`sum-log`
7×	`pow1`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`insert-posit16`
2×	`+-commutative` `sqrt-pow1`
1×	`associate-+l+` `associate-+r+` `clear-num` `frac-2neg` `pow1/2` `pow-prod-down` `sqrt-prod` `cbrt-unprod` `associate-/l/`

Counts

4 → 339

Calls

4 calls:

110.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
842.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
179.0ms	(/ (/ (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (pow (* (cbrt (+ (- z -6) 0.5)) (cbrt (+ (- z -6) 0.5))) (- 1 0.5))) (pow (cbrt (+ (- z -6) 0.5)) (- 1 0.5)))
5.0ms	(sqrt (* PI 2))

series1.0s

Counts

4 → 10

Calls

4 calls:

118.0ms	(+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5))))
167.0ms	(+ (+ (/ 12.507343278686905 (+ z 4)) (+ (/ -176.6150291621406 (+ z 3)) (/ -0.13857109526572012 (- z -5)))) (/ 9.984369578019572e-06 (- z -6)))
732.0ms	(/ (/ (* (pow (+ (- z -6) 0.5) z) (sqrt (* PI 2))) (pow (* (cbrt (+ (- z -6) 0.5)) (cbrt (+ (- z -6) 0.5))) (- 1 0.5))) (pow (cbrt (+ (- z -6) 0.5)) (- 1 0.5)))
0.0ms	(sqrt (* PI 2))

simplify2.2s

Counts

349 → 349

Iterations

Iter	Nodes
done	2001
2	2001
1	1621
0	615

prune4.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.4b remaining)

Error of 0.8b against oracle of 0.4b and baseline of 0.8b

bsearch0.0ms

simplify27.0ms

Iterations

Iter	Nodes
done	73
1	73
0	56

end0.0ms

sample48.4s

Algorithm

intervals

Results

16.8s	3790×	body	10240	exit
10.7s	3396×	body	1280	valid
7.0s	2484×	body	640	valid
5.6s	1475×	body	1280	nan
2.7s	1221×	body	640	nan
2.0s	1197×	body	320	valid
1.3s	617×	body	320	nan
775.0ms	658×	body	160	valid
548.0ms	284×	body	80	nan
319.0ms	304×	body	160	nan
188.0ms	340×	body	80	valid