Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	37×	body	320	valid
10.0ms	56×	body	640	valid
7.0ms	143×	body	80	valid
2.0ms	20×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
done	12	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize8.0ms

Local error

Found 1 expressions with local error:

3.0b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

346×	`times-frac`
344×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
243×	`add-cube-cbrt`
234×	`prod-diff`
45×	`distribute-lft-out`
34×	`div-inv`
28×	`associate-/r/`
18×	`fma-neg`
14×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 279

Calls

1 calls:

106.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.4s

Counts

282 → 282

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	364	11776
1	812	10254
2	1786	7398
done	5000	5595

prune261.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.7b	(- x (+ x 1.0))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

41.0ms	(* (+ x 1.0) x)
83.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
36.0ms	(- x (+ x 1.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ x 1.0) x)
51.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
15.0ms	(- x (+ x 1.0))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	145	1352
1	394	1032
2	1872	752
done	5000	727

prune227.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

1615×	`times-frac`
923×	`*-un-lft-identity`
683×	`add-sqr-sqrt` `add-cube-cbrt`
192×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
165×	`associate-/l*`
120×	`distribute-lft-out`
64×	`neg-mul-1`
45×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`associate-/r*`
2×	`div-sub` `distribute-frac-neg`
1×	`pow1` `neg-sub0` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

1 → 684

Calls

1 calls:

94.0ms

(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

simplify1.8s

Counts

687 → 687

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	1078	15265
1	2524	14085
done	5000	13658

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 1.0))
0.1b	(/ 1 (/ (/ (* x (+ x 1.0)) 1.0) (- 1.0)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

622×	`times-frac`
249×	`add-sqr-sqrt` `*-un-lft-identity`
247×	`add-cube-cbrt`
84×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
74×	`associate-/r*`
45×	`div-inv`
38×	`add-exp-log`
28×	`neg-mul-1`
23×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
5×	`pow1`
4×	`rec-exp` `1-exp` `associate-r` `prod-exp`
3×	`associate-l` `associate-/l*`
2×	`expm1-log1p-u` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

2 → 355

Calls

2 calls:

25.0ms	(* x (+ x 1.0))
63.0ms	(/ 1 (/ (/ (* x (+ x 1.0)) 1.0) (- 1.0)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* x (+ x 1.0))
45.0ms	(/ 1 (/ (/ (* x (+ x 1.0)) 1.0) (- 1.0)))

simplify2.4s

Counts

361 → 361

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	629	7571
1	1506	6573
2	3502	5495
done	5000	5478

prune491.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	10
done	12	10

end0.0ms

sample979.0ms

Algorithm

intervals

Results

295.0ms	1919×	body	640	valid
258.0ms	4263×	body	80	valid
194.0ms	1208×	body	320	valid
40.0ms	611×	body	160	valid