Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	62×	body	640	valid
9.0ms	133×	body	80	valid
8.0ms	42×	body	320	valid
2.0ms	19×	body	160	valid

simplify13.0ms

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: 15.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x 1))
0.0b	(/ 1 (- x 1))
2.5b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite172.0ms

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:

19.0ms	(/ 1 (+ x 1))
20.0ms	(/ 1 (- x 1))
126.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1 (+ x 1))
21.0ms	(/ 1 (- x 1))
94.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5005
3	3466
2	1077
1	401
0	185

prune445.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- (* x x) (* 1 1)))
1.9b	(- (- x 1) (+ x 1))

rewrite91.0ms

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:

30.0ms	(/ 1 (- (* x x) (* 1 1)))
59.0ms	(- (- x 1) (+ x 1))

series66.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ 1 (- (* x x) (* 1 1)))
11.0ms	(- (- x 1) (+ x 1))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5003
2	1556
1	392
0	144

prune200.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) -2)
0.4b	(/ 1 (- (* x x) (* 1 1)))

rewrite63.0ms

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:

38.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
23.0ms	(/ 1 (- (* x x) (* 1 1)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
33.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5012
3	2821
2	838
1	345
0	139

prune280.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
61×	`times-frac`
39×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r`
19×	`add-cbrt-cube`
18×	`associate-l`
14×	`distribute-lft-out`
11×	`div-exp`
9×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`difference-of-sqr--1`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3-+` `cbrt-unprod` `flip-+` `div-inv`
3×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 146

Calls

3 calls:

11.0ms	(/ 1 (+ x 1))
17.0ms	(/ -2 (+ x -1))
77.0ms	(* (/ 1 (+ x 1)) (/ -2 (+ x -1)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1 (+ x 1))
16.0ms	(/ -2 (+ x -1))
57.0ms	(* (/ 1 (+ x 1)) (/ -2 (+ x -1)))

simplify1.7s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	1799
1	633
0	219

prune457.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes49.0ms

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	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

601.0ms	4248×	body	80	valid
441.0ms	1867×	body	640	valid
205.0ms	1276×	body	320	valid
52.0ms	609×	body	160	valid