Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	54×	body	640	valid
6.0ms	139×	body	80	valid
4.0ms	40×	body	320	valid
2.0ms	23×	body	160	valid

simplify8.0ms

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: 15.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x 1))
0.0b	(/ 1 (+ x 1))
4.1b	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite439.0ms

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:

16.0ms	(/ 1 (- x 1))
10.0ms	(/ 1 (+ x 1))
70.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1 (- x 1))
20.0ms	(/ 1 (+ x 1))
69.0ms	(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify2.3s

Counts

647 → 647

Iterations

Iter	Nodes
done	5000
2	2576
1	1290
0	553

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (- (* x x) (* 1 1)))
3.4b	(- (- x 1) (+ x 1))

rewrite80.0ms

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:

27.0ms	(/ 1 (- (* x x) (* 1 1)))
50.0ms	(- (- x 1) (+ x 1))

series66.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1 (- (* x x) (* 1 1)))
11.0ms	(- (- x 1) (+ x 1))

simplify3.6s

Counts

121 → 121

Iterations

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

prune388.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ 1 (- (* x x) (* 1 1)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-exp-log`
4×	`associate-/r*` `difference-of-squares`
3×	`add-cbrt-cube` `associate-/l*`
2×	`pow1` `div-exp` `associate-/r/`
1×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `pow-flip` `flip--` `inv-pow` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

15.0ms

(/ 1 (- (* x x) (* 1 1)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ 1 (- (* x x) (* 1 1)))

simplify2.1s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
3	1264
2	420
1	172
0	83

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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--`
15×	`add-exp-log`
11×	`associate-/r*`
10×	`div-inv`
9×	`flip3-+` `add-cbrt-cube` `flip-+`
8×	`div-exp`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

2 → 213

Calls

2 calls:

9.0ms	(/ 1 (+ x 1))
34.0ms	(/ (/ 1 (+ x 1)) (- x 1))

series92.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (+ x 1))
69.0ms	(/ (/ 1 (+ x 1)) (- x 1))

simplify1.9s

Counts

219 → 219

Iterations

Iter	Nodes
done	5000
2	1544
1	657
0	264

prune699.0ms

Pruning

4 alts after pruning (2 fresh and 2 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

sample1.5s

Algorithm

intervals

Results

548.0ms	1903×	body	640	valid
536.0ms	1246×	body	320	valid
268.0ms	4212×	body	80	valid
64.0ms	639×	body	160	valid