Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

283×

body

valid

simplify11.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	21	7
3	37	7
4	51	7
5	55	7
6	67	7
7	87	7
8	139	7
9	290	7
10	418	7
11	530	7
12	746	7
13	1026	7
14	1281	7
15	1693	7
16	2354	7
done	5000	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `prod-diff`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(- (* (+ x 1.0) y) x)
10.0ms	(* (+ x 1.0) y)

series48.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (* (+ x 1.0) y) x)
28.0ms	(* (+ x 1.0) y)

simplify2.7s

Counts

47 → 47

Iterations

Useful iterations: 3 (421.0ms)

Iter	Nodes	Cost
0	84	459
1	208	400
2	808	364
3	3794	360
done	5001	360

prune77.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
0.1b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`sqrt-div`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`prod-diff` `distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `flip--` `hypot-def`

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
24.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
13.0ms	(* (sqrt (+ x 1.0)) y)
28.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series163.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sqrt (+ x 1.0))
19.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
84.0ms	(* (sqrt (+ x 1.0)) y)
30.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify584.0ms

Counts

108 → 108

Iterations

Useful iterations: done (581.0ms)

Iter	Nodes	Cost
0	173	1472
1	426	1064
2	1503	948
done	5000	944

prune217.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample314.0ms

Algorithm

intervals

Results

163.0ms	9109×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid