Details

sample317.0ms

Algorithm

intervals

Results

106.0ms	58×	body	10240	exit
81.0ms	67×	body	1280	valid
61.0ms	312×	body	80	valid
26.0ms	34×	body	640	valid
12.0ms	24×	body	320	valid
5.0ms	15×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.6b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (* (- 1 eps) x)))
0.0b	(* (- 1 eps) x)
0.0b	(* (+ 1 eps) x)
2.9b	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
73×	`exp-neg`
72×	`frac-times`
55×	`neg-sub0` `exp-diff`
40×	`associate-*l/`
36×	`associate-*r/`
29×	`flip3--` `flip--`
28×	`flip3-+` `flip-+`
18×	`un-div-inv`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`associate-l`
9×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`exp-prod` `associate-r`
4×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr` `rem-exp-log`
1×	`distribute-lft-neg-in` `neg-mul-1` `sub-neg` `distribute-rgt-neg-in` `diff-log` `neg-log` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 158

Calls

4 calls:

14.0ms	(exp (- (* (- 1 eps) x)))
32.0ms	(* (- 1 eps) x)
25.0ms	(* (+ 1 eps) x)
58.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

series272.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(exp (- (* (- 1 eps) x)))
43.0ms	(* (- 1 eps) x)
27.0ms	(* (+ 1 eps) x)
175.0ms	(- (* (+ 1 (/ 1 eps)) (exp (- (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (- (* (+ 1 eps) x)))))

simplify2.8s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
2	3857
1	1222
0	376

prune925.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* 2/3 (* x (* x x)))
5.0b	(+ (* 2/3 (* x (* x x))) (- 2 (* x x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
6×	`add-sqr-sqrt` `associate-l`
5×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
3×	`insert-posit16`
2×	`associate-+r+` `sum-log` `associate-r` `*-commutative`
1×	`pow2` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `pow-plus` `diff-log` `cube-unmult` `pow-sqr` `flip-+` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

13.0ms	(* x (* x x))
42.0ms	(* 2/3 (* x (* x x)))
34.0ms	(+ (* 2/3 (* x (* x x))) (- 2 (* x x)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* x (* x x))
45.0ms	(* 2/3 (* x (* x x)))
47.0ms	(+ (* 2/3 (* x (* x x))) (- 2 (* x x)))

simplify3.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	4304
2	827
1	234
0	90

prune231.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* 2/3 x) (* x x))
0.3b	(* 2/3 x)
5.0b	(- (+ 2 (* (* 2/3 x) (* x x))) (* x x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

23.0ms	(* (* 2/3 x) (* x x))
8.0ms	(* 2/3 x)
39.0ms	(- (+ 2 (* (* 2/3 x) (* x x))) (* x x))

series145.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (* 2/3 x) (* x x))
26.0ms	(* 2/3 x)
46.0ms	(- (+ 2 (* (* 2/3 x) (* x x))) (* x x))

simplify3.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5004
3	4555
2	814
1	251
0	92

prune253.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (posit16->real (real->posit16 (* 2/3 x))) (* x x))
0.3b	(* 2/3 x)
5.0b	(- (+ 2 (* (posit16->real (real->posit16 (* 2/3 x))) (* x x))) (* x x))
60.5b	(posit16->real (real->posit16 (* 2/3 x)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
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×	`diff-log` `*-commutative` `unswap-sqr`
1×	`sum-log` `sub-neg` `flip3--` `associate--l+` `remove-posit16` `flip--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

14.0ms	(* (posit16->real (real->posit16 (* 2/3 x))) (* x x))
10.0ms	(* 2/3 x)
45.0ms	(- (+ 2 (* (posit16->real (real->posit16 (* 2/3 x))) (* x x))) (* x x))
0.0ms	(posit16->real (real->posit16 (* 2/3 x)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (posit16->real (real->posit16 (* 2/3 x))) (* x x))
16.0ms	(* 2/3 x)
54.0ms	(- (+ 2 (* (posit16->real (real->posit16 (* 2/3 x))) (* x x))) (* x x))
16.0ms	(posit16->real (real->posit16 (* 2/3 x)))

simplify3.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
3	4042
2	797
1	243
0	99

prune684.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

regimes305.0ms

Accuracy

96.1% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 16.4b

bsearch335.0ms

Steps

Iters	Range		Point
10	123.90859695911298	3906746094768.708	200.38587470314786

simplify19.0ms

Iterations

Iter	Nodes
done	62
3	62
2	60
1	51
0	33

end0.0ms

sample12.0s

Algorithm

intervals

Results

4.2s	1955×	body	10240	exit
2.8s	1760×	body	1280	valid
2.4s	9896×	body	80	valid
1.6s	1227×	body	640	valid
394.0ms	616×	body	320	valid
162.0ms	342×	body	160	valid