Details

sample61.0ms

Algorithm

intervals

Results

18.0ms	50×	body	640	valid
15.0ms	53×	body	320	valid
13.0ms	138×	body	80	valid
3.0ms	15×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
2.7b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite123.0ms

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:

16.0ms	(/ 1 (- x 1))
15.0ms	(/ 1 (+ x 1))
87.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ 1 (- x 1))
21.0ms	(/ 1 (+ x 1))
101.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	2001
3	2001
2	1080
1	401
0	185

prune339.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- (* x x) (* 1 1)))
2.2b	(- (- x 1) (+ x 1))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

20.0ms	(/ 1 (- (* x x) (* 1 1)))
50.0ms	(- (- x 1) (+ x 1))

series45.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1 (- (* x x) (* 1 1)))
10.0ms	(- (- x 1) (+ x 1))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	2003
3	2003
2	1556
1	392
0	144

prune221.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.3b	(/ 1 (- (* x x) (* 1 1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
26×	`times-frac`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`associate-l`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`difference-of-squares`
5×	`pow1`
4×	`associate-/r*` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-r` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 79

Calls

2 calls:

29.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
14.0ms	(/ 1 (- (* x x) (* 1 1)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify969.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2000
3	2000
2	838
1	345
0	139

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

449×	`times-frac`
381×	`*-un-lft-identity`
331×	`add-sqr-sqrt`
171×	`add-cube-cbrt`
132×	`associate-l`
74×	`difference-of-squares`
49×	`distribute-lft-out`
37×	`difference-of-sqr-1` `distribute-lft-out--`
36×	`associate-/r/`
31×	`add-exp-log`
21×	`associate-/l*`
19×	`add-cbrt-cube`
18×	`div-inv`
16×	`flip3-+` `flip-+`
14×	`div-exp`
11×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`rec-exp` `1-exp` `associate-r` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 367

Calls

3 calls:

49.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
12.0ms	(/ 1 (+ x 1))
23.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series141.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
19.0ms	(/ 1 (+ x 1))
66.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify1.1s

Counts

376 → 376

Iterations

Iter	Nodes
done	2005
2	2005
1	1012
0	373

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

680.0ms	1959×	body	640	valid
349.0ms	4165×	body	80	valid
310.0ms	1256×	body	320	valid
88.0ms	620×	body	160	valid