Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	54×	body	640	valid
14.0ms	142×	body	80	valid
9.0ms	35×	body	320	valid
4.0ms	25×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize10.0ms

Local error

Found 1 expressions with local error:

3.8b	(- (/ 1 (+ x 1)) (/ 1 x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

354×	`times-frac`
352×	`*-un-lft-identity`
267×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
234×	`prod-diff`
45×	`distribute-lft-out`
36×	`div-inv`
28×	`associate-/r/`
18×	`fma-neg`
14×	`flip3-+` `flip-+`
10×	`distribute-lft-out--`
9×	`difference-of-squares`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 287

Calls

1 calls:

63.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(- (/ 1 (+ x 1)) (/ 1 x))

simplify2.4s

Counts

290 → 290

Iterations

Iter	Nodes
done	5001
3	3327
2	1461
1	764
0	334

prune469.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ 1 x))
0.0b	(/ (- x (+ 1 x)) (* x (+ 1 x)))
3.1b	(- x (+ 1 x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`prod-diff`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`distribute-lft-out`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
5×	`pow1`
4×	`associate-r` `associate-*r/`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `flip3-+` `flip3--` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `div-sub` `pow-prod-down` `-commutative` `div-inv` `associate--r+` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

24.0ms	(* x (+ 1 x))
37.0ms	(/ (- x (+ 1 x)) (* x (+ 1 x)))
12.0ms	(- x (+ 1 x))

series95.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (+ 1 x))
26.0ms	(/ (- x (+ 1 x)) (* x (+ 1 x)))
11.0ms	(- x (+ 1 x))

simplify2.0s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1621
1	402
0	140

prune355.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (* x x))
0.4b	(/ 1 (* x x))
0.5b	(/ 1 (* x (* x x)))
14.1b	(- (/ 1 (* x (* x x))) (fma (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (* x x))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
35×	`pow1`
28×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
23×	`add-cbrt-cube`
21×	`times-frac` `prod-diff`
20×	`pow-flip`
15×	`prod-exp`
14×	`div-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`cbrt-undiv` `rec-exp` `fma-neg` `1-exp` `pow-prod-up`
6×	`add-log-exp`
5×	`pow-prod-down` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-sqr` `inv-pow`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `cube-unmult` `fma-udef` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

20.0ms	(/ 1 (* x x))
19.0ms	(/ 1 (* x x))
46.0ms	(/ 1 (* x (* x x)))
82.0ms	(- (/ 1 (* x (* x x))) (fma (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (* x x))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1 (* x x))
27.0ms	(/ 1 (* x x))
45.0ms	(/ 1 (* x (* x x)))
42.0ms	(- (/ 1 (* x (* x x))) (fma (/ 1 (* x x)) (/ 1 (* x x)) (/ 1 (* x x))))

simplify2.6s

Counts

170 → 170

Iterations

Iter	Nodes
done	5010
3	2797
2	851
1	365
0	164

prune495.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (* x x))
0.4b	(/ 1 (* x x))
0.5b	(/ 1 (* x (* x x)))
14.1b	(- (/ 1 (* x (* x x))) (fma (/ 1 (* x x)) (/ 1 (* x x)) (pow x -2)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
35×	`pow1`
28×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
23×	`add-cbrt-cube`
21×	`times-frac` `prod-diff`
20×	`pow-flip`
15×	`prod-exp`
14×	`div-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`cbrt-undiv` `rec-exp` `fma-neg` `1-exp` `pow-prod-up`
6×	`add-log-exp`
5×	`pow-prod-down` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-sqr` `inv-pow`
2×	`distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `cube-unmult` `fma-udef` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

10.0ms	(/ 1 (* x x))
10.0ms	(/ 1 (* x x))
24.0ms	(/ 1 (* x (* x x)))
123.0ms	(- (/ 1 (* x (* x x))) (fma (/ 1 (* x x)) (/ 1 (* x x)) (pow x -2)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (* x x))
40.0ms	(/ 1 (* x x))
61.0ms	(/ 1 (* x (* x x)))
36.0ms	(- (/ 1 (* x (* x x))) (fma (/ 1 (* x x)) (/ 1 (* x x)) (pow x -2)))

simplify2.8s

Counts

170 → 170

Iterations

Iter	Nodes
done	5004
3	3122
2	884
1	366
0	166

prune480.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 13.7b

bsearch103.0ms

Steps

Iters	Range		Point
9	2842.495256040047	513310621636.50653	229105.08111828775
9	-5.5526078831285184e+17	-5300214575.088034	-6935920363808791.0

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	1980×	body	640	valid
351.0ms	4150×	body	80	valid
293.0ms	1238×	body	320	valid
115.0ms	635×	body	160	valid