Details

sample179.0ms

Algorithm

intervals

Results

58.0ms	52×	body	1280	valid
38.0ms	45×	body	10240	exit
34.0ms	292×	body	80	valid
17.0ms	31×	body	640	valid
9.0ms	25×	body	320	valid
4.0ms	14×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1521
3	381
2	122
1	48
0	19

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1 eps) x)
0.0b	(exp (- (* (+ 1 eps) x)))
0.0b	(exp (- (* (- 1 eps) x)))
3.7b	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
74×	`exp-neg`
72×	`frac-times`
56×	`neg-sub0` `exp-diff`
38×	`associate-*l/`
36×	`associate-*r/`
29×	`flip3--` `flip--`
27×	`flip3-+` `flip-+`
18×	`un-div-inv`
13×	`add-sqr-sqrt`
12×	`exp-prod`
11×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
4×	`insert-posit16` `rem-exp-log`
3×	`associate-r`
2×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `neg-log` `difference-of-squares`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

43.0ms	(* (- 1 eps) x)
13.0ms	(exp (- (* (+ 1 eps) x)))
17.0ms	(exp (- (* (- 1 eps) x)))
88.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- 1 eps) x)
30.0ms	(exp (- (* (+ 1 eps) x)))
21.0ms	(exp (- (* (- 1 eps) x)))
182.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

simplify3.0s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	3894
1	1186
0	371

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))
6.2b	(+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))

rewrite179.0ms

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`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `associate-l`
3×	`insert-posit16`
2×	`associate-+r+` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

78.0ms	(* (* 2/3 (* x x)) x)
33.0ms	(* 2/3 (* x x))
67.0ms	(+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (* 2/3 (* x x)) x)
39.0ms	(* 2/3 (* x x))
44.0ms	(+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))

simplify1.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5002
2	930
1	255
0	88

prune270.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))
4.9b	(posit16->real (real->posit16 (+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))))
6.2b	(+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

65.0ms	(* (* 2/3 (* x x)) x)
32.0ms	(* 2/3 (* x x))
0.0ms	(posit16->real (real->posit16 (+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))))
88.0ms	(+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (* 2/3 (* x x)) x)
50.0ms	(* 2/3 (* x x))
54.0ms	(posit16->real (real->posit16 (+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))))
64.0ms	(+ (* (* 2/3 (* x x)) x) (- 2 (* x x)))

simplify1.6s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	998
1	260
0	97

prune724.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2/3 (* x x)) x)
0.2b	(* 2/3 (* x x))
6.2b	(+ (posit16->real (real->posit16 (* (* 2/3 (* x x)) x))) (- 2 (* x x)))
15.8b	(posit16->real (real->posit16 (* (* 2/3 (* x x)) x)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

96.0ms	(* (* 2/3 (* x x)) x)
31.0ms	(* 2/3 (* x x))
19.0ms	(+ (posit16->real (real->posit16 (* (* 2/3 (* x x)) x))) (- 2 (* x x)))
0.0ms	(posit16->real (real->posit16 (* (* 2/3 (* x x)) x)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (* 2/3 (* x x)) x)
54.0ms	(* 2/3 (* x x))
40.0ms	(+ (posit16->real (real->posit16 (* (* 2/3 (* x x)) x))) (- 2 (* x x)))
55.0ms	(posit16->real (real->posit16 (* (* 2/3 (* x x)) x)))

simplify3.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	4622
2	953
1	262
0	97

prune514.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes210.0ms

Accuracy

94.5% (0.9b remaining)

Error of 1.5b against oracle of 0.6b and baseline of 17.2b

bsearch199.0ms

Steps

Iters	Range		Point
8	4.1750260115318935e-11	1.508099977930646e-06	1.4798868095701662e-06

simplify26.0ms

Iterations

Iter	Nodes
done	64
3	64
2	62
1	53
0	34

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.1s	1971×	body	10240	exit
2.3s	10203×	body	80	valid
1.6s	1717×	body	1280	valid
855.0ms	1176×	body	640	valid
385.0ms	656×	body	320	valid
61.0ms	277×	body	160	valid