Details

sample379.0ms

Algorithm

intervals

Results

161.0ms	63×	body	10240	exit
83.0ms	64×	body	1280	valid
70.0ms	343×	body	80	valid
21.0ms	29×	body	640	valid
11.0ms	18×	body	320	valid
3.0ms	8×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
5	3061
4	844
3	296
2	120
1	46
0	19

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (- x) (* x eps)))
0.0b	(exp (- (- x) (* x eps)))
0.0b	(exp (- (- x) (* x eps)))
1.9b	(- (+ (exp (+ (- x) (* x eps))) (/ (exp (+ (- x) (* x eps))) eps)) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps)))))

rewrite824.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-log-exp`
19×	`*-un-lft-identity`
12×	`frac-sub`
10×	`diff-log`
9×	`add-sqr-sqrt` `exp-prod` `exp-diff` `rem-exp-log`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
5×	`exp-sum`
4×	`neg-sub0` `pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `associate-+l-` `insert-posit16` `flip--`
3×	`flip3-+` `neg-log` `frac-add` `flip-+`
2×	`distribute-lft-out` `associate--r+`
1×	`associate--l+` `associate--r-` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

33.0ms	(exp (+ (- x) (* x eps)))
32.0ms	(exp (- (- x) (* x eps)))
32.0ms	(exp (- (- x) (* x eps)))
726.0ms	(- (+ (exp (+ (- x) (* x eps))) (/ (exp (+ (- x) (* x eps))) eps)) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps)))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(exp (+ (- x) (* x eps)))
23.0ms	(exp (- (- x) (* x eps)))
15.0ms	(exp (- (- x) (* x eps)))
112.0ms	(- (+ (exp (+ (- x) (* x eps))) (/ (exp (+ (- x) (* x eps))) eps)) (- (/ (exp (- (- x) (* x eps))) eps) (exp (- (- x) (* x eps)))))

simplify5.3s

Counts

96 → 96

Iterations

Iter	Nodes
3	11629
2	1931
1	478
0	168

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize83.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (* eps x) x))
0.0b	(exp (- (- (* eps x)) x))
0.0b	(exp (- (- (* eps x)) x))
3.0b	(- (/ (exp (- (* eps x) x)) eps) (/ (exp (- (- (* eps x)) x)) eps))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
30×	`exp-sum`
19×	`add-log-exp`
17×	`add-cube-cbrt`
16×	`exp-prod` `sub-neg` `distribute-rgt-out--`
8×	`rem-exp-log`
6×	`diff-log` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`exp-diff`
2×	`distribute-lft-neg-in` `neg-log` `div-inv`
1×	`flip3--` `frac-sub` `flip--` `sub-div`

Counts

4 → 93

Calls

4 calls:

35.0ms	(exp (- (* eps x) x))
34.0ms	(exp (- (- (* eps x)) x))
35.0ms	(exp (- (- (* eps x)) x))
137.0ms	(- (/ (exp (- (* eps x) x)) eps) (/ (exp (- (- (* eps x)) x)) eps))

series152.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (- (* eps x) x))
21.0ms	(exp (- (- (* eps x)) x))
18.0ms	(exp (- (- (* eps x)) x))
95.0ms	(- (/ (exp (- (* eps x) x)) eps) (/ (exp (- (- (* eps x)) x)) eps))

simplify5.8s

Counts

105 → 105

Iterations

Iter	Nodes
4	8393
3	1911
2	712
1	268
0	128

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x 2/3) (* x x))
0.3b	(* x 2/3)
6.8b	(+ (- 2 (* x x)) (* (* x 2/3) (* x x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
7×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`associate-+l+` `sum-log` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

46.0ms	(* (* x 2/3) (* x x))
9.0ms	(* x 2/3)
23.0ms	(+ (- 2 (* x x)) (* (* x 2/3) (* x x)))

series500.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (* x 2/3) (* x x))
26.0ms	(* x 2/3)
404.0ms	(+ (- 2 (* x x)) (* (* x 2/3) (* x x)))

simplify2.5s

Counts

67 → 67

Iterations

Iter	Nodes
3	5318
2	896
1	241
0	91

prune522.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (posit16->real (real->posit16 (* x 2/3))) (* x x))
0.3b	(* x 2/3)
6.8b	(+ (- 2 (* x x)) (* (posit16->real (real->posit16 (* x 2/3))) (* x x)))
60.4b	(posit16->real (real->posit16 (* x 2/3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`associate-+l+` `sum-log` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `remove-posit16`

Counts

4 → 64

Calls

4 calls:

18.0ms	(* (posit16->real (real->posit16 (* x 2/3))) (* x x))
6.0ms	(* x 2/3)
21.0ms	(+ (- 2 (* x x)) (* (posit16->real (real->posit16 (* x 2/3))) (* x x)))
0.0ms	(posit16->real (real->posit16 (* x 2/3)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (posit16->real (real->posit16 (* x 2/3))) (* x x))
26.0ms	(* x 2/3)
62.0ms	(+ (- 2 (* x x)) (* (posit16->real (real->posit16 (* x 2/3))) (* x x)))
27.0ms	(posit16->real (real->posit16 (* x 2/3)))

simplify2.9s

Counts

76 → 76

Iterations

Iter	Nodes
3	4959
2	855
1	251
0	98

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes152.0ms

Accuracy

0% (0.8b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 1.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
3	26
2	26
1	24
0	17

end0.0ms

sample12.1s

Algorithm

intervals

Results

3.6s	1920×	body	10240	exit
3.5s	1731×	body	1280	valid
2.5s	10099×	body	80	valid
1.5s	1262×	body	640	valid
392.0ms	645×	body	320	valid
173.0ms	312×	body	160	valid