Details

sample50.0ms

Algorithm

intervals

Results

10.0ms	45×	body	1280	valid
8.0ms	44×	body	640	valid
7.0ms	149×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	5×	body	160	valid

simplify800.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	350
14	350
13	346
12	340
11	329
10	222
9	96
8	75
7	58
6	39
5	27
4	21
3	19
2	16
1	12
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ (+ x 1.0) (- x 1.0))
1.6b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `div-inv` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 107

Calls

3 calls:

30.0ms	(/ x (+ x 1.0))
67.0ms	(/ (+ x 1.0) (- x 1.0))
216.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series321.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ x (+ x 1.0))
50.0ms	(/ (+ x 1.0) (- x 1.0))
211.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify2.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1291
1	411
0	179

prune870.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (+ x 1.0) (- x 1.0)))
0.0b	(cbrt (/ (+ x 1.0) (- x 1.0)))
0.0b	(cbrt (/ (+ x 1.0) (- x 1.0)))
1.6b	(- (/ x (+ x 1.0)) (* (* (cbrt (/ (+ x 1.0) (- x 1.0))) (cbrt (/ (+ x 1.0) (- x 1.0)))) (cbrt (/ (+ x 1.0) (- x 1.0)))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
78×	`cbrt-prod`
60×	`times-frac`
58×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
15×	`cbrt-div` `distribute-lft-out`
12×	`distribute-lft-out--` `difference-of-squares`
7×	`frac-sub`
6×	`associate-/r/` `add-log-exp`
5×	`frac-times` `associate-*l/`
4×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `flip--`
3×	`pow1/3` `associate-*r/` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 128

Calls

4 calls:

24.0ms	(cbrt (/ (+ x 1.0) (- x 1.0)))
24.0ms	(cbrt (/ (+ x 1.0) (- x 1.0)))
24.0ms	(cbrt (/ (+ x 1.0) (- x 1.0)))
173.0ms	(- (/ x (+ x 1.0)) (* (* (cbrt (/ (+ x 1.0) (- x 1.0))) (cbrt (/ (+ x 1.0) (- x 1.0)))) (cbrt (/ (+ x 1.0) (- x 1.0)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt (/ (+ x 1.0) (- x 1.0)))
276.0ms	(cbrt (/ (+ x 1.0) (- x 1.0)))
269.0ms	(cbrt (/ (+ x 1.0) (- x 1.0)))
263.0ms	(- (/ x (+ x 1.0)) (* (* (cbrt (/ (+ x 1.0) (- x 1.0))) (cbrt (/ (+ x 1.0) (- x 1.0)))) (cbrt (/ (+ x 1.0) (- x 1.0)))))

simplify6.2s

Counts

140 → 140

Iterations

Iter	Nodes
done	5012
3	4176
2	1162
1	420
0	195

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ (* x 1.0) 3.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

42.0ms

(* x (+ (* x 1.0) 3.0))

series105.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

(* x (+ (* x 1.0) 3.0))

simplify5.9s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
3	2886
2	587
1	162
0	51

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (/ 1.0 (* x x))) (/ 3.0 x))
0.1b	(/ (/ 3.0 x) (* x x))
0.5b	(/ 1.0 (* x x))
8.4b	(- (- (- (/ 1.0 (* x x))) (/ 3.0 x)) (/ (/ 3.0 x) (* x x)))

rewrite865.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cbrt-cube` `add-exp-log`
20×	`add-cube-cbrt`
16×	`associate-/l*` `add-log-exp`
8×	`cbrt-undiv` `div-exp`
7×	`diff-log` `distribute-lft-out--`
5×	`frac-sub` `difference-of-squares`
4×	`pow1` `insert-posit16` `div-inv`
3×	`sub-neg` `flip3--` `prod-exp` `cbrt-unprod` `flip--`
2×	`associate--l-` `clear-num` `associate-/r*` `distribute-rgt-neg-in` `frac-2neg` `neg-log` `associate--l+` `distribute-neg-frac`
1×	`neg-sub0` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

125.0ms	(- (- (/ 1.0 (* x x))) (/ 3.0 x))
36.0ms	(/ (/ 3.0 x) (* x x))
11.0ms	(/ 1.0 (* x x))
686.0ms	(- (- (- (/ 1.0 (* x x))) (/ 3.0 x)) (/ (/ 3.0 x) (* x x)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(- (- (/ 1.0 (* x x))) (/ 3.0 x))
69.0ms	(/ (/ 3.0 x) (* x x))
40.0ms	(/ 1.0 (* x x))
51.0ms	(- (- (- (/ 1.0 (* x x))) (/ 3.0 x)) (/ (/ 3.0 x) (* x x)))

simplify3.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	1791
1	546
0	216

prune952.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

100% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 32.0b

bsearch165.0ms

Steps

Iters	Range		Point
10	1.508099977930646e-06	2590629949647.022	1.020834055947729
10	-26711381.42537418	-6.803810524357175e-07	-1.0026376323582022

simplify18.0ms

Iterations

Iter	Nodes
done	29
1	29
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

700.0ms	1254×	body	640	valid
426.0ms	1713×	body	1280	valid
235.0ms	4072×	body	80	valid
88.0ms	639×	body	320	valid
51.0ms	322×	body	160	valid