Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	60×	body	640	valid
15.0ms	40×	body	320	valid
11.0ms	137×	body	80	valid
3.0ms	19×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	16
2	16
1	13
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
1.0b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
72×	`add-sqr-sqrt`
69×	`times-frac`
32×	`add-cube-cbrt`
27×	`distribute-lft-out--`
17×	`difference-of-squares`
11×	`associate-/r*` `add-exp-log`
10×	`distribute-lft-out`
7×	`add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`pow1` `add-log-exp`
4×	`difference-of-sqr-1` `div-exp`
3×	`insert-posit16` `flip--`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip-+` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 128

Calls

3 calls:

8.0ms	(/ 1 (+ x 1))
8.0ms	(/ 1 (- x 1))
78.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (+ x 1))
26.0ms	(/ 1 (- x 1))
79.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify7.3s

Counts

137 → 137

Iterations

Iter	Nodes
3	2167
2	955
1	390
0	185

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x (+ 2 x)) (+ (* x x) -1))
0.7b	(- x (+ 2 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--`
7×	`difference-of-sqr--1` `add-log-exp`
6×	`distribute-lft-out` `associate-/l*` `difference-of-squares`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`pow1` `flip3--` `diff-log` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `div-exp` `flip-+` `div-inv` `associate--r+`

Counts

2 → 70

Calls

2 calls:

44.0ms	(/ (- x (+ 2 x)) (+ (* x x) -1))
9.0ms	(- x (+ 2 x))

series45.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- x (+ 2 x)) (+ (* x x) -1))
7.0ms	(- x (+ 2 x))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
3	4669
2	1043
1	328
0	128

prune604.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ -2 (+ (* x x) -1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`difference-of-sqr--1` `associate-/r*`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

19.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.1s

Counts

37 → 37

Iterations

Iter	Nodes
3	2116
2	574
1	193
0	90

prune269.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -2 (+ x 1))
0.1b	(/ (/ -2 (+ x 1)) (- x 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
207×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
28×	`distribute-lft-out`
21×	`associate-/l*`
20×	`associate-/r/`
19×	`difference-of-sqr-1` `distribute-lft-out--`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 203

Calls

2 calls:

7.0ms	(/ -2 (+ x 1))
18.0ms	(/ (/ -2 (+ x 1)) (- x 1))

series102.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ -2 (+ x 1))
87.0ms	(/ (/ -2 (+ x 1)) (- x 1))

simplify9.8s

Counts

209 → 209

Iterations

Iter	Nodes
3	5260
2	1709
1	675
0	281

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

709.0ms	1917×	body	640	valid
445.0ms	4277×	body	80	valid
322.0ms	1194×	body	320	valid
128.0ms	612×	body	160	valid