Details

sample1.4s

Algorithm

intervals

Results

698.0ms	118×	body	10240	exit
216.0ms	51×	body	1280	nan
174.0ms	260×	body	80	valid
147.0ms	45×	body	640	nan
30.0ms	17×	body	320	nan
18.0ms	15×	body	160	nan
10.0ms	14×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
3	3458
2	614
1	155
0	60

prune78.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize171.0ms

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)

rewrite134.0ms

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:

25.0ms	(- (- 1 z) 1)
26.0ms	(- (- 1 z) 1)
38.0ms	(- (- 1 z) 1)
43.0ms	(- (- 1 z) 1)

series66.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (- 1 z) 1)
21.0ms	(- (- 1 z) 1)
18.0ms	(- (- 1 z) 1)
14.0ms	(- (- 1 z) 1)

simplify2.1s

Counts

100 → 100

Iterations

Iter	Nodes
5	3510
4	1219
3	452
2	196
1	80
0	41

prune4.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.6b

localize248.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
6.4b	(posit16->real (real->posit16 (- (- 1 z) 1)))

rewrite150.0ms

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:

43.0ms	(- (- 1 z) 1)
49.0ms	(- (- 1 z) 1)
56.0ms	(- (- 1 z) 1)
1.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)
13.0ms	(- (- 1 z) 1)
14.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

simplify3.1s

Counts

87 → 87

Iterations

Iter	Nodes
5	3724
4	1125
3	454
2	211
1	91
0	50

prune4.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.6b

localize218.0ms

Local error

Found 4 expressions with local error:

5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
5.7b	(- (- 1 z) 1)
6.4b	(posit16->real (real->posit16 (- (- 1 z) 1)))

rewrite122.0ms

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:

28.0ms	(- (- 1 z) 1)
49.0ms	(- (- 1 z) 1)
43.0ms	(- (- 1 z) 1)
0.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- 1 z) 1)
14.0ms	(- (- 1 z) 1)
19.0ms	(- (- 1 z) 1)
22.0ms	(posit16->real (real->posit16 (- (- 1 z) 1)))

simplify2.8s

Counts

87 → 87

Iterations

Iter	Nodes
5	3724
4	1125
3	454
2	211
1	91
0	50

prune5.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.6b

localize162.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
1.0b	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
1.0b	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
1.0b	(sqrt (* 2 PI))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
52×	`times-frac`
25×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
24×	`distribute-lft-out`
11×	`exp-sum` `add-log-exp`
10×	`associate-/l*` `distribute-lft-out--`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`unpow-prod-up` `sqr-pow`
4×	`associate-/r*` `sum-log` `insert-posit16`
3×	`flip3-+` `div-exp` `frac-add` `flip-+` `pow-sub` `associate-/l/`
2×	`+-commutative` `sqrt-pow1` `sub0-neg`
1×	`pow-to-exp` `cbrt-undiv` `associate-+r+` `clear-num` `associate-+r-` `frac-2neg` `pow1/2` `exp-diff` `unsub-neg` `pow-prod-down` `pow-exp` `associate-/r/` `associate-+l-` `sqrt-prod` `div-inv`

Counts

4 → 123

Calls

4 calls:

145.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
102.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
195.0ms	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
3.0ms	(sqrt (* 2 PI))

series345.0ms

Counts

4 → 10

Calls

4 calls:

67.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
62.0ms	(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (+ (- 6 z) -1)))
216.0ms	(/ (pow (+ (- 7 z) 0.5) (+ 0.5 (- 0 z))) (exp (+ (- 7 z) 0.5)))
0.0ms	(sqrt (* 2 PI))

simplify1.2s

Counts

133 → 133

Iterations

Iter	Nodes
2	2589
1	805
0	334

prune4.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes253.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	77
1	77
0	58

end0.0ms

sample43.3s

Algorithm

intervals

Results

22.6s	3960×	body	10240	exit
6.6s	1503×	body	1280	nan
6.3s	8096×	body	80	valid
4.7s	1272×	body	640	nan
1.5s	590×	body	320	nan
672.0ms	276×	body	80	nan
399.0ms	319×	body	160	nan