Details

sample1.3s

Algorithm

intervals

Results

569.0ms	123×	body	10240	exit
273.0ms	59×	body	1280	nan
146.0ms	258×	body	80	valid
75.0ms	21×	body	320	nan
72.0ms	32×	body	640	nan
7.0ms	6×	body	160	nan
6.0ms	5×	body	80	nan

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
3	3423
2	613
1	154
0	60

prune76.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize225.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-log-exp`
20×	`add-sqr-sqrt`
12×	`diff-log` `distribute-lft-out--`
8×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`associate--l-` `pow1` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

4 → 88

Calls

4 calls:

31.0ms	(- (- 1 z) 1)
52.0ms	(- (- 1 z) 1)
28.0ms	(- (- 1 z) 1)
30.0ms	(- (- 1 z) 1)

series66.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (- 1 z) 1)
15.0ms	(- (- 1 z) 1)
15.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)

simplify9.6s

Counts

100 → 100

Iterations

Iter	Nodes
5	3777
4	1042
3	457
2	208
1	78
0	41

prune3.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize251.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
6.7b	(posit16->real (real->posit16 (- (- 1 z) 1)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
19×	`add-log-exp`
16×	`add-sqr-sqrt`
9×	`diff-log` `distribute-lft-out--`
6×	`sub-neg` `associate--l+` `difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`associate--l-` `flip3--` `difference-of-sqr-1` `flip--`
1×	`remove-posit16`

Counts

4 → 75

Calls

4 calls:

32.0ms	(- (- 1 z) 1)
38.0ms	(- (- 1 z) 1)
56.0ms	(- (- 1 z) 1)
1.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (- 1 z) 1)
22.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)
22.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

simplify6.6s

Counts

87 → 87

Iterations

Iter	Nodes
5	3775
4	1119
3	455
2	210
1	89
0	50

prune5.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.7b

localize153.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(sqrt (* 2 PI))
1.5b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
56×	`times-frac`
30×	`add-log-exp`
29×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
25×	`unpow-prod-up` `unpow-prod-down`
24×	`frac-add`
18×	`sum-log`
15×	`exp-sum`
14×	`associate-/l*`
13×	`flip3-+` `flip-+`
10×	`sub-neg` `associate--l+`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out--` `associate--r-` `sqr-pow`
4×	`associate-/r*` `insert-posit16`
3×	`div-exp`
2×	`+-commutative` `associate-+l+` `sqrt-pow1`
1×	`pow-to-exp` `cbrt-undiv` `associate-+r+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `pow-exp` `associate-/r/` `sqrt-prod` `div-inv` `pow-sub` `associate-/l/`

Counts

4 → 158

Calls

4 calls:

424.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
169.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
5.0ms	(sqrt (* 2 PI))
1.2s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series401.0ms

Counts

4 → 10

Calls

4 calls:

52.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
217.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
132.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.6s

Counts

168 → 168

Iterations

Iter	Nodes
2	4494
1	1109
0	421

prune6.3s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize229.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
1.0b	(sqrt (* 2 PI))
1.5b	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
112×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`unpow-prod-up` `unpow-prod-down`
35×	`distribute-lft-out`
30×	`exp-sum`
28×	`associate-/l*`
25×	`add-log-exp`
22×	`frac-add`
20×	`sub-neg` `associate--l+`
15×	`sum-log`
11×	`flip3-+` `flip-+`
10×	`distribute-lft-out--` `associate--r-` `sqr-pow`
8×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`div-exp`
4×	`insert-posit16`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `sqrt-pow1` `exp-diff` `pow-exp` `associate-/r/` `div-inv` `pow-sub` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 231

Calls

4 calls:

117.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
138.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
3.0ms	(sqrt (* 2 PI))
1.2s	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

series512.0ms

Counts

4 → 10

Calls

4 calls:

217.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
177.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
0.0ms	(sqrt (* 2 PI))
117.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.6s

Counts

241 → 241

Iterations

Iter	Nodes
2	4095
1	1009
0	377

prune11.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes644.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify49.0ms

Iterations

Iter	Nodes
2	98
1	98
0	73

end0.0ms

sample40.5s

Algorithm

intervals

Results

22.9s	3793×	body	10240	exit
6.2s	1527×	body	1280	nan
5.3s	8076×	body	80	valid
3.8s	1258×	body	640	nan
1.1s	584×	body	320	nan
390.0ms	280×	body	160	nan
254.0ms	271×	body	80	nan