Details

sample42.0ms

Algorithm

intervals

Results

7.0ms	307×	body	80	nan
7.0ms	256×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `hypot-def` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 19

Calls

1 calls:

16.0ms

(sqrt (+ x y))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(sqrt (+ x y))

simplify6.1s

Counts

22 → 22

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	55	184
1	124	160
2	268	155
3	571	145
4	1140	142
5	1931	141
6	3367	141
done	5001	141

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ x y)))
0.3b	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`cbrt-prod`
16×	`sqrt-prod`
12×	`add-cube-cbrt`
10×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `sqrt-div` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

8.0ms	(sqrt (cbrt (+ x y)))
30.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
8.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))

series869.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(sqrt (cbrt (+ x y)))
289.0ms	(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
204.0ms	(cbrt (+ x y))
168.0ms	(cbrt (+ x y))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	150	1131
1	330	1041
2	896	974
3	2367	965
done	5000	958

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.3b	(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (sqrt (+ x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`cbrt-prod`
10×	`add-cube-cbrt`
8×	`sqrt-prod`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
2×	`pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `hypot-def` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

11.0ms	(sqrt (+ x y))
7.0ms	(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (sqrt (+ x y)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (+ x y))
26.0ms	(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
192.0ms	(cbrt (+ x y))
185.0ms	(cbrt (sqrt (+ x y)))

simplify2.1s

Counts

86 → 86

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	177	977
1	384	917
2	979	822
3	2625	802
done	5001	798

prune366.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (cbrt (+ x y)))
0.5b	(cbrt (cbrt (+ x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
18×	`*-un-lft-identity`
12×	`cbrt-div`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (cbrt (+ x y)))
5.0ms	(cbrt (cbrt (+ x y)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (+ x y))
176.0ms	(cbrt (+ x y))
240.0ms	(cbrt (cbrt (+ x y)))
211.0ms	(cbrt (cbrt (+ x y)))

simplify2.3s

Counts

82 → 82

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	97	810
1	212	768
2	478	730
3	1166	714
4	3522	706
done	5001	698

prune292.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

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	4	4
1	5	4
done	5	4

end0.0ms

sample804.0ms

Algorithm

intervals

Results

160.0ms	8000×	body	80	valid
148.0ms	8018×	body	80	nan