Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

283×

body

valid

simplify2.5s

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	129	7
9	216	7
10	269	7
11	313	7
12	357	7
13	428	7
14	628	7
15	700	7
16	884	7
17	900	7
18	904	7
done	904	7

prune5.0ms

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)

rewrite16.0ms

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:

5.0ms	(- (* (+ x 1.0) y) x)
9.0ms	(* (+ x 1.0) y)

series46.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- (* (+ x 1.0) y) x)
27.0ms	(* (+ x 1.0) y)

simplify1.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (406.0ms)

Iter	Nodes	Cost
0	84	459
1	191	400
2	606	367
3	2359	360
done	5000	360

prune74.0ms

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))

rewrite66.0ms

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))
22.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
11.0ms	(* (sqrt (+ x 1.0)) y)
27.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series159.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (+ x 1.0))
22.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
81.0ms	(* (sqrt (+ x 1.0)) y)
27.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: 3 (882.0ms)

Iter	Nodes	Cost
0	173	1472
1	412	1064
2	1139	951
3	3915	937
done	5000	937

prune197.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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

sample290.0ms

Algorithm

intervals

Results

159.0ms	9109×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid