Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	62×	body	640	valid
5.0ms	133×	body	80	valid
4.0ms	42×	body	320	valid
1.0ms	19×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	15
0	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize12.0ms

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

850×	`*-un-lft-identity`
783×	`times-frac`
710×	`add-sqr-sqrt`
486×	`prod-diff`
454×	`add-cube-cbrt`
125×	`difference-of-squares`
98×	`associate-/r/`
94×	`distribute-lft-out`
81×	`distribute-lft-out--`
58×	`difference-of-sqr-1`
52×	`div-inv`
30×	`flip-+`
29×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
11×	`associate-/r*` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1` `add-log-exp`
4×	`div-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 638

Calls

3 calls:

12.0ms	(/ 1 (+ x 1))
12.0ms	(/ 1 (- x 1))
108.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ 1 (+ x 1))
14.0ms	(/ 1 (- x 1))
69.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify1.9s

Counts

647 → 647

Iterations

Iter	Nodes
done	5001
2	2592
1	1290
0	553

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
37×	`prod-diff`
29×	`add-cube-cbrt`
15×	`difference-of-squares`
14×	`add-log-exp`
12×	`times-frac`
11×	`associate--l+` `distribute-lft-out--`
9×	`distribute-lft-out`
7×	`fma-neg`
6×	`diff-log` `add-exp-log`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `flip3--` `add-cbrt-cube` `frac-sub` `flip--`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `sum-log` `sub-neg` `flip3-+` `div-exp` `associate-/r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`associate--l-` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `pow-flip` `associate--r+` `inv-pow`

Counts

2 → 115

Calls

2 calls:

17.0ms	(/ 1 (- (* x x) (* 1 1)))
58.0ms	(- (- x 1) (+ x 1))

series42.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (- (* x x) (* 1 1)))
8.0ms	(- (- x 1) (+ x 1))

simplify3.9s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
3	4995
2	1590
1	525
0	193

prune282.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

2 → 83

Calls

2 calls:

43.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
29.0ms	(/ 1 (- (* x x) (* 1 1)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (/ 1 (- (* x x) (* 1 1))) -2)
44.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify1.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	2602
2	930
1	362
0	143

prune360.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
80×	`*-un-lft-identity`
73×	`times-frac`
43×	`add-cube-cbrt`
31×	`add-exp-log`
27×	`associate-r`
19×	`add-cbrt-cube`
18×	`associate-l`
14×	`difference-of-squares`
11×	`associate-/r*` `div-exp`
8×	`prod-exp` `associate-/r/`
7×	`difference-of-sqr-1` `distribute-lft-out` `distribute-lft-out--`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 166

Calls

3 calls:

21.0ms	(/ 1 (+ x 1))
11.0ms	(/ -2 (- x 1))
78.0ms	(* (/ 1 (+ x 1)) (/ -2 (- x 1)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ 1 (+ x 1))
25.0ms	(/ -2 (- x 1))
72.0ms	(* (/ 1 (+ x 1)) (/ -2 (- x 1)))

simplify2.1s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	2007
1	663
0	232

prune512.0ms

Pruning

5 alts after pruning (4 fresh and 1 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
done	10
1	10
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

530.0ms	609×	body	160	valid
447.0ms	1867×	body	640	valid
262.0ms	4248×	body	80	valid
223.0ms	1276×	body	320	valid