Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	58×	body	640	valid
7.0ms	137×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	23×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	16
2	16
1	13
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
2.8b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite121.0ms

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:

14.0ms	(/ 1 (- x 1))
14.0ms	(/ 1 (+ x 1))
67.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (+ x 1))
92.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.8s

Counts

647 → 647

Iterations

Iter	Nodes
2	2264
1	1263
0	553

prune3.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (- (* x x) (* 1 1)))
2.1b	(- (- x 1) (+ x 1))

rewrite106.0ms

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:

26.0ms	(/ 1 (- (* x x) (* 1 1)))
78.0ms	(- (- x 1) (+ x 1))

series70.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ 1 (- (* x x) (* 1 1)))
11.0ms	(- (- x 1) (+ x 1))

simplify13.6s

Counts

121 → 121

Iterations

Iter	Nodes
3	4475
2	1401
1	482
0	193

prune771.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (- (* x x) (* 1 1))) (posit16->real (real->posit16 -2)))
0.1b	(/ 1 (- (* x x) (* 1 1)))

rewrite66.0ms

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:

51.0ms	(* (/ 1 (- (* x x) (* 1 1))) (posit16->real (real->posit16 -2)))
13.0ms	(/ 1 (- (* x x) (* 1 1)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* (/ 1 (- (* x x) (* 1 1))) (posit16->real (real->posit16 -2)))
51.0ms	(/ 1 (- (* x x) (* 1 1)))

simplify7.4s

Counts

89 → 89

Iterations

Iter	Nodes
4	4338
3	1808
2	809
1	360
0	145

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (/ 1 (+ x 1)) (- x 1)) (posit16->real (real->posit16 -2)))
0.0b	(/ 1 (+ x 1))
0.1b	(/ (/ 1 (+ x 1)) (- x 1))

rewrite104.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `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 → 373

Calls

3 calls:

46.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) (posit16->real (real->posit16 -2)))
16.0ms	(/ 1 (+ x 1))
30.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series172.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* (/ (/ 1 (+ x 1)) (- x 1)) (posit16->real (real->posit16 -2)))
24.0ms	(/ 1 (+ x 1))
65.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify4.5s

Counts

382 → 382

Iterations

Iter	Nodes
2	2324
1	1012
0	381

prune4.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	11
1	11
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	1897×	body	640	valid
415.0ms	4236×	body	80	valid
314.0ms	1232×	body	320	valid
100.0ms	635×	body	160	valid