Details

sample3.1s

Algorithm

intervals

Results

2.4s	132×	body	10240	exit
196.0ms	38×	body	640	nan
173.0ms	44×	body	1280	nan
152.0ms	258×	body	80	valid
27.0ms	16×	body	320	nan
12.0ms	10×	body	160	nan
5.0ms	8×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
3	3423
2	613
1	154
0	60

prune94.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize171.0ms

Local error

Found 4 expressions with local error:

6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)

rewrite185.0ms

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:

50.0ms	(- (- 1 z) 1)
50.0ms	(- (- 1 z) 1)
50.0ms	(- (- 1 z) 1)
32.0ms	(- (- 1 z) 1)

series77.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (- 1 z) 1)
14.0ms	(- (- 1 z) 1)
18.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)

simplify9.7s

Counts

100 → 100

Iterations

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

prune4.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.7b

localize243.0ms

Local error

Found 4 expressions with local error:

6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)
7.7b	(posit16->real (real->posit16 (- (- 1 z) 1)))

rewrite121.0ms

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:

40.0ms	(- (- 1 z) 1)
29.0ms	(- (- 1 z) 1)
50.0ms	(- (- 1 z) 1)
1.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)
15.0ms	(- (- 1 z) 1)
14.0ms	(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

prune5.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.7b

localize265.0ms

Local error

Found 4 expressions with local error:

6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)
6.3b	(- (- 1 z) 1)
7.7b	(posit16->real (real->posit16 (- (- 1 z) 1)))

rewrite116.0ms

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:

41.0ms	(- (- 1 z) 1)
33.0ms	(- (- 1 z) 1)
41.0ms	(- (- 1 z) 1)
1.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)
13.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

simplify6.8s

Counts

87 → 87

Iterations

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

prune5.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.7b

localize205.0ms

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	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
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))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
56×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`add-log-exp`
26×	`distribute-lft-out`
25×	`unpow-prod-up` `unpow-prod-down`
22×	`frac-add`
16×	`sum-log`
15×	`exp-sum`
14×	`associate-/l*`
12×	`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` `sqrt-pow1`
1×	`pow-to-exp` `cbrt-undiv` `associate-+l+` `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 → 153

Calls

4 calls:

148.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
61.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
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))))

series372.0ms

Counts

4 → 10

Calls

4 calls:

241.0ms	(/ (pow (+ 0.5 (- 7 z)) (- (- 1 z) (- 1 0.5))) (exp (+ 0.5 (- 7 z))))
30.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
0.0ms	(sqrt (* 2 PI))
101.0ms	(+ (+ (/ -0.13857109526572012 (- 6 z)) (/ -1259.1392167224028 (- 2 z))) (+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z))))

simplify2.8s

Counts

163 → 163

Iterations

Iter	Nodes
2	4518
1	1107
0	419

prune6.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes177.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
2	77
1	77
0	60

end0.0ms

sample1.6m

Algorithm

intervals

Results

1.2m	3844×	body	10240	exit
6.2s	8093×	body	80	valid
5.9s	1463×	body	1280	nan
5.9s	1247×	body	640	nan
2.3s	654×	body	320	nan
403.0ms	301×	body	160	nan
202.0ms	272×	body	80	nan