Details

sample46.0ms

Algorithm

intervals

Results

13.0ms	45×	body	1280	valid
10.0ms	44×	body	640	valid
9.0ms	149×	body	80	valid
2.0ms	13×	body	320	valid
1.0ms	5×	body	160	valid

simplify215.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	168
15	168
14	165
13	136
12	114
11	99
10	89
9	69
8	53
7	42
6	32
5	26
4	23
3	22
2	19
1	15
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(/ (+ x 1) (- x 1))
1.6b	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
60×	`times-frac`
57×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
20×	`distribute-lft-out`
18×	`distribute-lft-out--`
14×	`difference-of-squares`
11×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`difference-of-sqr-1` `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 → 117

Calls

3 calls:

20.0ms	(/ x (+ x 1))
40.0ms	(/ (+ x 1) (- x 1))
87.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ x (+ x 1))
24.0ms	(/ (+ x 1) (- x 1))
108.0ms	(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify2.3s

Counts

126 → 126

Iterations

Iter	Nodes
done	5008
3	3663
2	1074
1	399
0	180

prune451.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1))
0.0b	(/ 1 (/ (- x 1) (+ x 1)))
0.0b	(/ (- x 1) (+ x 1))
1.6b	(- (/ x (+ x 1)) (/ 1 (/ (- x 1) (+ x 1))))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

275×	`times-frac`
268×	`*-un-lft-identity`
226×	`add-sqr-sqrt`
109×	`add-cube-cbrt`
52×	`difference-of-squares`
42×	`associate-/r*`
41×	`distribute-lft-out`
25×	`distribute-lft-out--`
21×	`difference-of-sqr-1`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
9×	`div-exp`
8×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `frac-sub` `pow-flip` `inv-pow`

Counts

4 → 280

Calls

4 calls:

17.0ms	(/ x (+ x 1))
25.0ms	(/ 1 (/ (- x 1) (+ x 1)))
33.0ms	(/ (- x 1) (+ x 1))
166.0ms	(- (/ x (+ x 1)) (/ 1 (/ (- x 1) (+ x 1))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ x (+ x 1))
32.0ms	(/ 1 (/ (- x 1) (+ x 1)))
24.0ms	(/ (- x 1) (+ x 1))
80.0ms	(- (/ x (+ x 1)) (/ 1 (/ (- x 1) (+ x 1))))

simplify2.0s

Counts

292 → 292

Iterations

Iter	Nodes
done	5002
2	2265
1	853
0	336

prune850.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (+ x 1)) (- (+ (* 2 (+ x (* x x))) 1)))
0.0b	(/ x (+ x 1))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
9×	`add-log-exp`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out`
3×	`diff-log` `associate-/l*`
2×	`pow1` `flip3-+` `neg-log` `associate-/r/` `frac-sub` `flip-+` `insert-posit16` `distribute-neg-frac` `distribute-lft-out--` `difference-of-squares`
1×	`neg-sub0` `cbrt-undiv` `distribute-neg-in` `clear-num` `sum-log` `sub-neg` `distribute-rgt-neg-in` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--` `associate--r+` `associate--r-`

Counts

2 → 57

Calls

2 calls:

153.0ms	(- (/ x (+ x 1)) (- (+ (* 2 (+ x (* x x))) 1)))
11.0ms	(/ x (+ x 1))

series82.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (/ x (+ x 1)) (- (+ (* 2 (+ x (* x x))) 1)))
26.0ms	(/ x (+ x 1))

simplify1.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	1197
1	359
0	133

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ x 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-cbrt-cube` `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` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

21.0ms

(* x (+ x 3))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* x (+ x 3))

simplify3.0s

Counts

27 → 27

Iterations

Iter	Nodes
done	5009
3	3754
2	534
1	140
0	44

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 31.7b

bsearch164.0ms

Steps

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

simplify16.0ms

Iterations

Iter	Nodes
done	44
3	44
2	38
1	32
0	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

721.0ms	4072×	body	80	valid
441.0ms	1713×	body	1280	valid
320.0ms	1254×	body	640	valid
137.0ms	639×	body	320	valid
37.0ms	322×	body	160	valid