Details

sample338.0ms

Algorithm

intervals

Results

83.0ms	61×	body	10240	exit
75.0ms	65×	body	1280	valid
61.0ms	319×	body	80	valid
48.0ms	17×	body	320	valid
43.0ms	48×	body	640	valid
4.0ms	10×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	2873
4	824
3	298
2	122
1	48
0	19

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x))))
0.0b	(exp (- (* (- 1 eps) x)))
0.0b	(exp (- (* (+ 1 eps) x)))
1.2b	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
78×	`exp-neg`
76×	`frac-times`
59×	`neg-sub0` `exp-diff`
38×	`associate-l/` `associate-r/`
30×	`flip3-+` `flip-+`
28×	`flip3--` `flip--`
19×	`un-div-inv`
12×	`exp-prod`
11×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt`
6×	`pow1` `add-cbrt-cube`
5×	`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` `distribute-lft-out`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

51.0ms	(* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x))))
7.0ms	(exp (- (* (- 1 eps) x)))
5.0ms	(exp (- (* (+ 1 eps) x)))
37.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x))))
27.0ms	(exp (- (* (- 1 eps) x)))
20.0ms	(exp (- (* (+ 1 eps) x)))
164.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

simplify2.2s

Counts

172 → 172

Iterations

Iter	Nodes
2	3154
1	1128
0	353

prune2.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2 (* x x))
0.0b	(* x (* (* x x) 2/3))
0.2b	(* (* x x) 2/3)
5.0b	(+ (* x (* (* x x) 2/3)) (- 2 (* x x)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(- 2 (* x x))
62.0ms	(* x (* (* x x) 2/3))
14.0ms	(* (* x x) 2/3)
61.0ms	(+ (* x (* (* x x) 2/3)) (- 2 (* x x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- 2 (* x x))
73.0ms	(* x (* (* x x) 2/3))
50.0ms	(* (* x x) 2/3)
41.0ms	(+ (* x (* (* x x) 2/3)) (- 2 (* x x)))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
3	3973
2	956
1	312
0	109

prune716.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2 (* x x))
0.0b	(* x (* (* x x) 2/3))
0.2b	(* (* x x) 2/3)
5.0b	(+ (* x (* (* x x) 2/3)) (- 2 (* x x)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(- 2 (* x x))
59.0ms	(* x (* (* x x) 2/3))
14.0ms	(* (* x x) 2/3)
54.0ms	(+ (* x (* (* x x) 2/3)) (- 2 (* x x)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- 2 (* x x))
58.0ms	(* x (* (* x x) 2/3))
40.0ms	(* (* x x) 2/3)
51.0ms	(+ (* x (* (* x x) 2/3)) (- 2 (* x x)))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
3	3973
2	956
1	312
0	109

prune679.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (posit16->real (real->posit16 (* (* x x) 2/3))))
0.2b	(* (* x x) 2/3)
5.0b	(+ (* x (posit16->real (real->posit16 (* (* x x) 2/3)))) (- 2 (* x x)))
29.2b	(posit16->real (real->posit16 (* (* x x) 2/3)))

rewrite44.0ms

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-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`associate-+r+` `sum-log` `*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `remove-posit16`

Counts

4 → 64

Calls

4 calls:

6.0ms	(* x (posit16->real (real->posit16 (* (* x x) 2/3))))
15.0ms	(* (* x x) 2/3)
22.0ms	(+ (* x (posit16->real (real->posit16 (* (* x x) 2/3)))) (- 2 (* x x)))
1.0ms	(posit16->real (real->posit16 (* (* x x) 2/3)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (posit16->real (real->posit16 (* (* x x) 2/3))))
33.0ms	(* (* x x) 2/3)
47.0ms	(+ (* x (posit16->real (real->posit16 (* (* x x) 2/3)))) (- 2 (* x x)))
42.0ms	(posit16->real (real->posit16 (* (* x x) 2/3)))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
3	3269
2	767
1	241
0	97

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

regimes243.0ms

Accuracy

96.5% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 16.1b

bsearch300.0ms

Steps

Iters	Range		Point
10	1.6697130628152668	353170825925.37476	171.1161917239734

simplify11.0ms

Iterations

Iter	Nodes
4	60
3	60
2	58
1	49
0	30

end0.0ms

sample12.1s

Algorithm

intervals

Results

4.2s	1914×	body	10240	exit
2.9s	9982×	body	80	valid
2.5s	1818×	body	1280	valid
1.1s	1169×	body	640	valid
835.0ms	643×	body	320	valid
114.0ms	298×	body	160	valid